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A garden shop sells a rose bush for $350 and a daffodil bush for $550. If the rose bush is bought at half price, how much can be saved by buying 20 rose bushes and 20 daffodil bushes?
Answer: 20 rose bushes are sold at $350/2 = $175 each, for a total of 20 x 175 = $<<20*175=3500>>3500.
20 daffodil bushes are sold at ... |
A jar of peanut butter which is 3 inches in diameter and 4 inches high sells for $\$0.60$. What would be the price of a jar that is 6 inches in diameter and 6 inches high?
Answer: The volume of the small jar is π(1.5)²(2) = 4.5π cubic inches.
The volume of the large jar is π(3)²(3) = 27π cubic inches.
The large jar i... |
A jar of peanut butter which is 3 inches in diameter and 4 inches high sells for $\$0.60$. What would be the price of a jar that is 6 inches in diameter and 6 inches high?
Answer: The volume of the first jar is π(3/2)^2 * 4 = 9π cubic inches.
The volume of the second jar is π(6/2)^2 * 6 = 54π cubic inches.
So, the se... |
A man can paint a house in 3 days. How many days will it take 2 guys to paint the same house?
Answer: It will take 2 guys 3 days / 2 people = <<3/2=1.5>>1.5 days to paint the house.
#### 1.5
Question: A car is traveling at a speed of 80 miles per hour. How many minutes will it take to go from Miami to Key Largo, a di... |
A jar of peanut butter which is 3 inches in diameter and 4 inches high sells for $\$0.60$. What would be the price of a jar that is 6 inches in diameter and 6 inches high?
Answer: The volume of the first jar of peanut butter is $\pi$ x 1.5$^2$ x 4 = $9\pi$ cubic inches.
The volume of the second jar of peanut butter i... |
A 12-ounce can of chicken soup costs $3.60. How much does it cost per ounce?
Answer: The cost per ounce is $3.60 / 12 = $<<3.60/12=0.3>>0.3 per ounce.
#### 0.3
Question: A box of 10 fruit-flavored children's candies is priced at $3.00. How much does it cost to buy 25 candies?
Answer: The cost of 25 candies is $3.00 ... |
Cindy was asked by her teacher to subtract 3 from a certain number and then divide the result by 9. Instead, she subtracted 9 and then divided the result by 3, giving an answer of 43. What would her answer have been if she had worked the problem correctly?
Answer: If we call the certain number x, then the correct cal... |
A jar of peanut butter which is 3 inches in diameter and 4 inches high sells for $\$0.60$. What would be the price of a jar that is 6 inches in diameter and 6 inches high?
Answer: The volume of the first jar is $\pi * 1.5^2 * 4$.
The volume of the second jar is $\pi * 3^2 * 6$.
The second jar is $2^3=8$ times larger ... |
A rope is 30 meters long. It is cut into 5 pieces of 3 equal lengths. The length of 2 pieces is equal to 1/5 of the length of the original rope. How long is one piece?
Answer: 1/5 of the length of the original rope is 30 / 5 = 6 meters.
So, the length of 2 pieces is 6 meters, which means the length of one piece is 6 ... |
A farmer has 800 sheep for sale. Half of the sheep have black and white fur, 20 percent of the sheep have black, white, and red fur, and the rest of the sheep have white, black, and brown fur. How many sheep have white, black, and brown fur?
Answer: Half of 800 is 800/2 = 400. So, 400 sheep have black and white fur.
... |
Cindy was asked by her teacher to subtract 3 from a certain number and then divide the result by 9. Instead, she subtracted 9 and then divided the result by 3, giving an answer of 40. What would her answer have been if she had worked the problem correctly?
Answer: Let x be the number. Then (x - 9) / 3 = 40, so x - 9 ... |
Cindy was asked by her teacher to subtract 3 from a certain number and then divide the result by 9. Instead, she subtracted 9 and then divided the result by 3, giving an answer of 40. What would her answer have been if she had worked the problem correctly?
Answer: The number is 40 x 3 = 120.
If Cindy had worked the p... |
A person has 8 dollars in his pocket. He then by 2 large curtains for $8 each. How much money does he have now?
Answer: The person has 8 dollars.
He buys 2 curtains for 8 dollars each, so he spends 2 * 8 = $<<2*8=16>>16 dollars.
After buying the curtains, he has 8 - 16 = $<<8-16=-8>>-8 dollars left.
However, since he... |
A papaya is 0.25 pounds heavier than 1/4 of a papaya. What is the weight of the papaya?
Answer: Let's call the weight of the papaya W. The problem says that W = 0.25 + 1/4*W.
If we multiply the whole equation by 4, we get 4W = 1 + W.
Subtracting W from both sides, we get 3W = 1.
Finally, dividing both sides by 3, we ... |
A farmer has 40 chickens and 25 cows. How many animals in all does the farmer have on his farm?
Answer: The farmer has 40 chickens + 25 cows = <<40+25=65>>65 animals on his farm.
#### 65
Question: Mike has 4 times more stamps than Johnny. Johnny has 6 times more stamps than Billy. If Billy has 7 stamps, how many stam... |
A small barber shop has 5 chairs for customers. It takes 15 minutes for a customer to get a haircut and 5 minutes to pay for it. Today, all five chairs are occupied. Adam came in to get a haircut and was seated in the chair, 10 minutes in, when the chair became free. How long will he have to wait until he can get paid... |
A rope is 30 meters long. It is cut into 5 pieces of 3 equal lengths. The longest piece is twice as long as the sum of the shortest two pieces. Find the length of each piece.
Answer: The rope is cut into 5 pieces of 3 equal lengths. This means there are 5 * 3 = 15 pieces in total. Each piece is therefore 30 / 15 = <<... |
A special school needs a fence for its playground that is 20 meters long and 18 meters wide. The fence costs $10 per meter. Then they need 2 gates that cost $50 each. And finally, they need 100 meters of wire mesh that costs $2 per meter. How much does the school need to pay in total?
Answer: The perimeter of the pla... |
A farmer has 800 sheep in his farm. He sells 125 of them and buys 100 more. How many sheep are there now on the farm?
Answer: The farmer starts with 800 sheep.
He sells 125, so he now has 800 - 125 = <<800-125=675>>675 sheep.
He then buys 100 more, so he now has 675 + 100 = <<675+100=775>>775 sheep.
#### 775
Question... |
A small acting club has a total of 22 actors. The number of actors who play acting today is 7 more than 3 times the number of actors who were in the club last year. How many actors were in the club last year?
Answer: Let x be the number of actors last year. Then 3x + 7 = 22. Solving for x, we have 3x = 22 - 7 = 15, s... |
A farmer has 150 chickens. 15 of them are roosters, and the rest are hens. 30 of the hens do not lay eggs, the rest do. How many egg-laying hens does the farmer have?
Answer: The number of hens is 150 - 15 = 135.
The number of egg-laying hens is 135 - 30 = <<135-30=105>>105.
#### 105
Question: Jack is making a large ... |
A perpetuity is a type of bond with no maturity date; in other words, it never matures. In exchange for an initial investment, an investor receives a fixed amount of money each year forever. If a $100,000 perpetuity pays $7,000 annually, what is the rate of return?
Answer: The rate of return is the annual payment div... |
Aarav is 11 years older than Bhavya who is three times as old as Chaitnya. The total of their ages is 123 years. What is the value when the age of Bhavya is added to the difference between ages of Aarav and Chaitnya?
Answer: Let Bhavya's age be B years, Chaitnya's age be C years, and Aarav's age be A years. Then, A =... |
Aarav is 3 years younger than his sister. If his sister is 15 years old now, how old will Aarav be in 7 years?
Answer: Aarav is currently 15 - 3 = 12 years old.
In 7 years, Aarav will be 12 + 7 = 19 years old.
#### 19
Question: One box of cereal costs $3. How many boxes can you buy with $15?
Answer: $15/$3/box = 5 b... |
A rope is 30 meters long. It is cut into 4 equal parts. 3 cuts are made. Then each part is cut into thirds and two of these smaller pieces are cut into half. How long is the smallest part?
Answer: The rope is cut into 4 equal parts, so each part is 30 / 4 = <<30/4=7.5>>7.5 meters long.
Each part is then cut into thir... |
A papaya is 1.5 times as heavy as a mango. A watermelon is twice as heavy as the papaya. If the watermelon weighs 11.2 kg, what is the weight of the mango?
Answer: The papaya weighs 11.2/2=<<11.2/2=5.6>>5.6 kg.
The mango weighs 5.6/1.5=<<5.6/1.5=3.7333333333333335>>3.7333333333333335 kg.
#### 3.7333333333333335
Quest... |
A bottle of water costs $1.5, and a box of 30 bottles costs $40. How much can you save from buying a box of 30 bottles compared to buying them separately?
Answer: The cost of 30 bottles if bought separately is 30 x $1.5 = $45.
So, buying a box of 30 bottles saves $45 - $40 = $<<45-40=5>>5.
#### 5
Question: A car is t... |
A farmer has 800 sheep. He has three times as many sheep as cows. How many cows does he have?
Answer: Let's say that the number of cows is C. Since the number of sheep is three times the number of cows, we have that 800 = 3C. This means that C = 800/3 = <<800/3=266.66666666666666>>266.66666666666666.
Since the number... |
A farmer has 800 sheep, each sheep has 4 legs. A trader brings in 150 goats, each goat has 4 legs. How many legs in total?
Answer: The number of legs of the sheep is 800 sheep x 4 legs/sheep = 3200 legs.
The number of legs of the goats is 150 goats x 4 legs/goat = 600 legs.
In total, there are 3200 legs + 600 legs = ... |
A car is traveling at a speed of 80 miles per hour. A plane is traveling at a speed of 20 times that of the car. How far will the plane travel in 30 minutes?
Answer: The speed of the plane is 20 x 80 miles per hour = 1600 miles per hour.
In 30 minutes, the plane will travel 1600 miles/hour x 0.5 hours = 800 miles.
##... |
A pound of strawberries costs $2, and a pound of blueberries costs 20% more than strawberries. If Briget buys 5 pounds of strawberries and 3 pounds of blueberries, how much will it cost her?
Answer: A pound of blueberries costs 20% more than a pound of strawberries, so it costs $2 + ($2 x 20%) = $2 + $0.4 = $<<2+0.4=... |
Aarav is 3 years older than Bhargav who is five times as old as Charan. The total of the ages of Aarav, Bhargav and Charan is 80 years. How old is charan?
Answer: Let Charan's age be x years.
Then, Bhargav's age is 5x years and Aarav's age is (5x+3) years.
Therefore, x+5x+(5x+3)=80
11x+3=80
11x=77
x=7
Charan's age is... |
A farmer has 800 sheep in a rectangular field. If the length of the field is 8 times its width, and each sheep requires 0.5 square meters of space, what is the area of the field?
Answer: The total area required by the sheep is 800 sheep * 0.5 square meters/sheep = 400 square meters.
The area of the field is length * ... |
A jar of peanut butter which is 3 inches in diameter and 4 inches high sells for $\$0.60$. What would be the price of a jar that is 6 inches in diameter and 6 inches high?
Answer: The volume of the first jar is 3.14 x (3 / 2)^2 x 4 = 3.14 x 2.25 x 4 = 28.26 cubic inches.
The volume of the second jar is 3.14 x (6 / 2)... |
A jar of peanut butter which is 3 inches in diameter and 4 inches high sells for $\$0.60$. What would be the price of a jar that is 6 inches in diameter and 6 inches high?
Answer: The volume of the first jar is $\pi r^2h=\pi\cdot 1.5^2\cdot 4=9\pi$ cubic inches.
The volume of the second jar is $\pi r^2h=\pi\cdot 3^2\... |
Cindy was asked by her teacher to subtract 3 from a certain number and then divide the result by 9. Instead, she subtracted 9 and then divided the result by 3, giving an answer of 40. What would her answer have been if she had worked the problem correctly?
Answer: If we let x be the certain number, then Cindy's incor... |
A jar of peanut butter which is 3 inches in diameter and 4 inches high sells for $\$0.60$. At the same rate, what would be the price for a jar that is 6 inches in diameter and 6 inches high?
Answer: The volume of a cylinder is given by the formula πr^2h, where r is the radius and h is the height.
The volume of the fi... |
Cindy was asked by her teacher to subtract 3 from a certain number and then divide the result by 9. Instead, she subtracted 9 and then divided the result by 3, giving an answer of 40. What would her answer have been if she had worked the problem correctly?
Answer: Let the certain number be x.
Then (x - 9) / 3 = 40.
S... |
A farmer has 800 sheep. He sells 100 and buys 40 more. How many sheep does he have now?
Answer: The farmer has 800 - 100 + 40 = <<800-100+40=740>>740 sheep.
#### 740
Question: In the first game of the season a football team scores a total of 15 points. In the next two games it scores 3 points in each game. In the fou... |
A pizzeria sells pizzas with a diameter of 20 cm each. If 10 pieces of pizza were bought by a customer, what is the total area of the pizza in square centimeters?
Answer: The area of one pizza is πr², where r is the radius. Since the diameter is 20 cm, the radius is 20/2=10 cm.
So, the area of one pizza is π * 10² = ... |
A farmer has 800 cows on his farm. He does some analysis and finds out that 120 of his cows have spots. What percentage of cows on the farm has spots?
Answer: The percentage of cows on the farm with spots is 120/800 * 100 = <<120/800*100=15>>15%.
#### 15
Question: Tom was rubber trading. He earned $600 by trading 300... |
A big bottle of fruit juice costs $5.44 for 32 ounces. A small bottle costs $2.53 for 16 ounces. How much more fruit juice per ounce is in the big bottle than the small bottle?
Answer: The cost per ounce for the big bottle is $5.44 / 32 ounces = $0.17/ounce.
The cost per ounce for the small bottle is $2.53 / 16 ounce... |
A jar of peanut butter which is 3 inches in diameter and 4 inches high sells for $\$0.60$. At the same rate, what would be the price for a jar that is 6 inches in diameter and 6 inches high?
Answer: The volume of the peanut butter jar is $\pi r^2h = \pi (1.5)^2 * 4 = \pi * 2.25 * 4 = \pi * 9$ cubic inches.
Since the ... |
A jar of peanut butter which is 3 inches in diameter and 4 inches high sells for $\$0.60$. At the same rate, what would be the price for a jar that is 6 inches in diameter and 6 inches high?
Answer: The volume of the first jar is $\pi \times (3/2)^2 \times 4 = 9\pi$ cubic inches.
The volume of the second jar is $\pi ... |
A racecar can run the first 50 miles in one hour, the second 50 miles in 1.5 hours, the third 50 miles in 1.33 hours, and the last 50 miles in 1.67 hours. What is the average speed of the racecar over the entire 200 miles?
Answer: To find the average speed, we divide the total distance by the total time.
The total di... |
Cindy was asked by her teacher to subtract 3 from a certain number and then divide the result by 9. Instead, she subtracted 9 and then divided the result by 3, giving an answer of 40. What would her answer have been if she had worked the problem correctly?
Answer: If we call the certain number x, we know that (x - 9)... |
Cindy was asked by her teacher to subtract 3 from a certain number and then divide the result by 9. Instead, she subtracted 9 and then divided the result by 3, giving an answer of 40. What would her answer have been if she had worked the problem correctly?
Answer: Let's denote the number as x. Cindy's incorrect opera... |
A farmer has 5 sheep and three times as many cows. If all the animals drink 5 liters of water per day, how much water does the farmer use in a week to water all his animals?
Answer: The number of cows is 5 x 3 = 15.
The number of animals is 5 + 15 = 20.
The amount of water they drink per day is 20 x 5 = 100 liters.
I... |
A farmer has 500 meters of fencing to enclose a rectangular plot of land. He wants the plot to be twice as long as it is wide. What is the area of the plot in square meters?
Answer: Let the width of the plot be x meters. Then the length is 2x meters. The perimeter of the plot is 2(x + 2x) = 6x meters. Since the farme... |
A rope is 30 meters long. It is cut into 5 pieces of 3 equal lengths. The longest piece is twice as long as the sum of the shortest two pieces. Find the length of each piece.
Answer: The rope is cut into 5 pieces of 3 equal lengths, so each piece is 30 / 5 = 6 meters long.
The longest piece is twice as long as the su... |
A garden shop sells Magic Grass, a type of sod that doubles in size every day. A garden measuring 10 by 10 feet is completely covered with Magic Grass in 18 days. How many days does it take to cover a garden measuring 20 by 20 feet?
Answer: A 20 by 20 feet garden is 4 times the size of a 10 by 10 feet garden. So, it ... |
A rope is 30 meters long. It is cut into 5 pieces of 3 equal lengths. The 5 pieces are given to 5 people. If 1 piece is given to Ann and the total length of the remaining pieces is shared equally among the other 4 people, how many meters of rope will each of them get?
Answer: Each piece is 30 m / 5 = <<30/5=6>>6 mete... |
A farmer has 3 baskets of apples. Each basket has 100 apples. If 15% of the apples are rotten and 20% of the remaining apples are reserved for making apple pie, how many apples are available for sale?
Answer: The total number of apples is 3 x 100 = 300 apples.
The number of rotten apples is 15% of 300 = 0.15 x 300 = ... |
A farmer has 30 chickens and pigs in total. The animals have 74 legs in total. How many chickens and pigs are there?
Answer: Let c be the number of chickens and p be the number of pigs.
c + p = 30
2c + 4p = 74
Solve for c and p.
c = 13
p = 17
#### 13 and 17
Question: A's salary is 50% more than B's. How much percenta... |
Farmer Ben has only ducks and cows, 24 in total. He can’t remember how many of each he has. He knows that the animals have a total of 66 legs. Assuming that each animal has all legs intact and no extra limbs, how many of each animal does farmer Ben have?
Answer: Let $x$ be the number of ducks and $y$ be the number of... |
Cindy was asked by her teacher to subtract 3 from a certain number and then divide the result by 9. Instead, she subtracted 9 and then divided the result by 3, giving an answer of 40. What would her answer have been if she had worked the problem correctly?
Answer: The original number is 40 x 3 + 9 = 129.
The correct ... |
A bag of flour weighs 10 kilograms. A bag of meal weighs 3000 grams. How many more grams do 8 bags of flour weigh than 10 bags of meal?
Answer: One bag of flour weighs 10 kilograms = 10000 grams.
8 bags of flour weigh 8 x 10000 = 80000 grams.
One bag of meal weighs 3000 grams.
10 bags of meal weigh 10 x 3000 = 30000 ... |
A papaya is 1 kg heavier than 1/2 of a watermelon. A watermelon has a mass of 10 kg. What is the mass of 2 papayas?
Answer: A papaya weighs 10 kg / 2 + 1 kg = 5 kg + 1 kg = 6 kg.
Two papayas weigh 6 kg x 2 = 12 kg.
#### 12
Question: Mary is buying some fruit for a party. She buys 3 apples for $30, 2 oranges for $40, ... |
A jar of peanut butter which is 3 inches in diameter and 4 inches high sells for $\$0.60$. At the same rate, what would be the price for a jar that is 6 inches in diameter and 6 inches high?
Answer: The volume of the first jar is π x (3/2)² x 4 = 9π cubic inches.
The volume of the second jar is π x (6/2)² x 6 = 54π c... |
A jar of peanut butter which is 3 inches in diameter and 4 inches high sells for $\$0.60$. At the same rate, what would be the price for a jar that is 6 inches in diameter and 6 inches high?
Answer: The volume of the first jar is $\pi$ x (3/2)^2 x 4 = 9$\pi$ cubic inches.
The volume of the second jar is $\pi$ x (6/2)... |
A jar of peanut butter which is 3 inches in diameter and 4 inches high sells for $\$0.60$. At the same rate, what would be the price for a jar that is 6 inches in diameter and 6 inches high?
Answer: The volume of the smaller jar is pi x (3/2)^2 x 4 = 9pi cubic inches.
The volume of the larger jar is pi x (6/2)^2 x 6 ... |
Cindy was asked by her teacher to subtract 3 from a certain number and then divide the result by 9. Instead, she subtracted 9 and then divided the result by 3, giving an answer of 43. What would her answer have been if she had worked the problem correctly?
Answer: The number was (43 X 3) + 9 = 138. If she had followe... |
A papaya is 0.25 pounds heavier than 2/3 the weight of a watermelon. If the papaya weighs 3.5 pounds, how much does the watermelon weigh?
Answer: Let's denote the weight of the watermelon by W pounds.
According to the problem, a papaya weighs 0.25 pounds more than 2/3 the weight of a watermelon.
So we can write the e... |
A jar of peanut butter which is 3 inches in diameter and 4 inches high sells for $\$0.60$. What would be the price of a jar that is 6 inches in diameter and 6 inches high?
Answer: The volume of the first jar is $r^2\pi h=1.5^2\pi4=9\pi$ cubic inches.
The volume of the second jar is $r^2\pi h=3^2\pi6=54\pi$ cubic inch... |
A farmer has 800 cows on his farm. He has 60% as many pigs as he has cows. How many animals does he have on his farm?
Answer: The number of pigs is 800 * 0.6 = 480.
The total number of animals is 800 + 480 = 1280.
#### 1280
Question: Jack is trying to calculate the lunch cost for a reunion. If each person contributes... |
Farmer Ben has only ducks and cows, 24 heads and 68 legs. How many ducks does he have?
Answer: Let d be the number of ducks and c be the number of cows.
Then, d + c = 24 and 2d + 4c = 68.
Solving these equations, we get d = 10 and c = 14.
#### 10
Question: A basket with 12 apples has a mass of 3105 grams. The same ba... |
A jar of peanut butter which is 3 inches in diameter and 4 inches high sells for $\$0.60$. What would be the price of a jar that is 6 inches in diameter and 6 inches high?
Answer: The volume of a cylinder is given by the formula $V = \pi r^2 h$, where $r$ is the radius and $h$ is the height. The radius of the first j... |
A garden shop sells three types of flower seeds for planting: Daisy seeds for $2.50 per packet, Rose seeds for $3.75 per packet, and Tulip seeds for $4.25 per packet. What is the total cost to buy 4 packets of Daisy seeds, 2 packets of Rose seeds, and 1 packet of Tulip seeds?
Answer: The total cost for the Daisy seed... |
Last week, Sarah had 5.6 meters of ribbon. Today, she bought 2.2 more meters of ribbon. How many meters of ribbon does she have now?
Answer: Sarah now has 5.6 + 2.2 = 7.8 meters of ribbon.
#### 7.8
Question: Mike has 5 rows of apples in his fruit store, with each row containing 18 apples. If he sells 15 apples, how m... |
A man can paint a house in 3 days. How long would it take two men working at the same rate to paint the same house?
Answer: If one man can paint a house in 3 days, two men working together at the same rate would paint the house in 3/2=<<3/2=1.5>>1.5 days.
#### 1.5
Question: Mary is 4 years old. John is 7 times as old... |
A programmer is working with files. Initially, the programmer has 800 MB of data to save on a memory card. Every hour, the amount of data is increased by 25%. If the programmer starts saving the data at 9 AM, how much data will the programmer have at noon on the same day?
Answer: After the first hour, the programmer ... |
A slice of pizza has 200 calories, and a medium-sized pizza has 4 slices. How many calories are in 3 medium-sized pizzas?
Answer: One medium pizza has 4 slices x 200 calories/slice = 800 calories.
So, three pizzas would have 3 x 800 calories = 2400 calories.
#### 2400
Question: A cake recipe calls for 400 g of flour.... |
A car is crossing a bridge 442 meters long. If the car is traveling at a constant speed of 35 meters/second, how long (in seconds) will it take the car to cross the bridge?
Answer: The car is traveling at a constant speed of 35 meters/second.
So, it will take 442 / 35 = <<442/35=12.628571428571429>>12.628571428571429... |
A farmer has 500 meters of fencing to enclose a rectangular plot of land. He wants to maximize the area of the plot. What is the largest area he can enclose with the available fencing?
Answer: The largest area the farmer can enclose is a square with side length 500/4=<<500/4=125>>125 meters. The area of the square is... |
A rope is 3 meters long. You cut 100 cm out of it. How long is the said rope in centimeters?
Answer: The rope is 3 meters long, which is 3 * 100 = 300 cm.
After cutting 100 cm out of it, the remaining length is 300 cm - 100 cm = 200 cm.
#### 200
Question: Mike can type 65 words per minute. At that rate, how many hour... |
Cindy was asked by her teacher to subtract 3 from a certain number and then divide the result by 9. Instead, she subtracted 9 and then divided the result by 3, giving an answer of 40. What would her answer have been if she had worked the problem correctly?
Answer: Let's call the certain number x.
Cindy subtracted 9 f... |
A farmer has 500 meters of fencing to enclose a rectangular plot of land. He wants to maximize the area of the plot. What is the length of the longer side of the plot?
Answer: Let's assume the length of the plot is L and the width is W. The perimeter of the plot is 2L + 2W = 500 meters.
The area of the plot is A = L ... |
A rope is 30 meters long. It is cut into 5 pieces of 3 equal lengths. The 5 pieces are given to 5 people. If 1 piece has a length of 6 meters, what is the area of the land each person will get if each person plants land based on the length of the rope they received?
Answer: The length of each of the 5 pieces is 30 / ... |
A farmer has 800 sheep in his farm. He sells 120 of them and buys 100 more. How many sheep are now in the farm?
Answer: The farmer starts with 800 sheep.
He sells 120 sheep, so he has 800 - 120 = 680 sheep left.
He then buys 100 more sheep, so he now has 680 + 100 = 780 sheep.
#### 780
Question: Sarah is 40 years old... |
A rope is 30 meters long. It is cut into 5 pieces of 3 equal lengths. The longest 2 pieces of rope would be how many meters longer than the shortest 2 pieces of rope?
Answer: The rope is cut into 5 pieces of 3 equal lengths.
So, each piece is 30/5=<<30/5=6>>6 meters long.
The longest 2 pieces of rope would be 6 + 6 =... |
A jar of peanut butter which is 3 inches in diameter and 4 inches high sells for $\$0.60$. At the same rate, what would be the price for a jar that is 6 inches in diameter and 6 inches high?
Answer: The volume of a cylinder is $\pi r^2 h$.
The volume of the first jar is $\pi \times (3/2)^2 \times 4 = 9\pi$ cubic inch... |
A farmer has 800 sheep in a rectangular field. He put 1/4 of the sheep in the barn and divided the rest equally into 3 sections. How many sheep does he have in each section?
Answer: The farmer put 800/4=<<800/4=200>>200 sheep in the barn.
So, he has 800-200=<<800-200=600>>600 sheep left.
He divided these sheep equall... |
A rope is 30 meters long. It is cut into 5 pieces of 3 equal lengths. The 5 pieces are tangled with each other, so you can't tell them apart. If you pick 2 of the pieces, how long will the rope be?
Answer: Each of the 5 pieces is 30/5 = 6 meters long.
The length of 2 of the pieces is 2 x 6 = 12 meters.
#### 12
Questi... |
A car drives from A to B at a speed of 20 mph then drives from B to C at a speed of 30 mph and finally drives from C to D at a speed of 40 mph. If the distance from A to B was 60 miles, the distance from B to C was 60 miles, and the distance from C to D was 60 miles, what was the average speed of the car?
Answer: The... |
Last week, Sarah had 21 dollars, and this week she has 38 dollars. How many dollars did Sarah earn?
Answer: To find how many dollars Sarah earned, we subtract the amount she had last week from the amount she has this week. So, Sarah earned 38 - 21 = $<<38-21=17>>17.
#### 17
Question: Last week, Kevin had 21 dollars, ... |
A rope is 30 meters long. It is cut into 5 pieces of 3 equal lengths. The 5 pieces are then used to form a regular pentagon. What are the measures of the angles of the pentagon?
Answer: The length of each piece is 30 meters / 5 pieces = 6 meters/piece.
The perimeter of the pentagon is 5 pieces x 6 meters/piece = 30 m... |
A slice of pizza costs $5. LaDonna ordered 3 slices and a soft drink for $3.00. Robert ordered 4 slices and a root beer for $2.00. How much do they still owe on their pizzas?
Answer: LaDonna owes $5 x 3 + $3 = $18.
Robert owes $5 x 4 + $2 = $22.
So, they still owe $18 + $22 = $<<18+22=40>>40 in total.
#### 40
Questio... |
A farmer has 500 meters of fencing to enclose a rectangular plot of land. He wants the plot to be twice as long as it is wide. What is the area of the largest plot he can enclose?
Answer: Let the width of the plot be $w$ meters. Then the length is $2w$ meters. The perimeter is $2(w + 2w) = 6w = 500$, so $w = \frac{50... |
Last week, Jaden had 46枚 of quarters. He alright. He spent 12 quarters last week. This week, his dad gave him 30 quarters. How many quarters does he have now?
Answer: 46 - 12 + 30 = 66
#### 66
Question: A library has 73 tables and 16 chairs. If there are 13 more tables than chairs, how many furniture pieces are there... |
A garden has 5000 trees. There are 1000 apple trees, 450 peach trees, 210 plum trees, the rest are pear trees. How many pear trees are there in the garden?
Answer: The number of pear trees is 5000 - (1000 + 450 + 210) = 5000 - 1660 = 3340
#### 3340
Question: If 5 people take 42 minutes to paint 5 walls, how long does... |
A car is crossing a bridge that can only hold 10000 pounds. The car, which weighs 9000 pounds, has a briefcase on the front seat, weighing 1000 pounds. If the car is traveling at 30 miles per hour, and the briefcase is dropped, will the bridge collapse?
Answer: The car is traveling at 30 miles per hour, which is belo... |
A car is crossing a bridge 442 meters long. If the car is traveling at 35 miles per hour, how long, in minutes, does it take the car to cross the bridge?
Answer: First, we need to convert the speed of the car from miles per hour to meters per second. There are 1609.34 meters in a mile and 3600 seconds in an hour, so ... |
Last year, the math class had 100 students. This year, the number of students was 20% less. How many students were there this year?
Answer: The number of students this year is 100 - 20% x 100 = 100 - 20 = 80 students.
#### 80
Question: This year, there are 100 students in the math class. The number of students was 20... |
A perpetuity is a type of bond with no maturity date; in other words, it never matures. In exchange for an initial investment, an investor receives a fixed amount of money each year forever. If a perpetuity pays $2000 a year and the current interest rate is 8%, what is the present value of this perpetuity? Round your ... |
A garden has 5000 flowers. 1/4 of the flowers are red, 1/3 of the remaining are yellow, and the rest are pink. How many pink flowers are there?
Answer: The number of red flowers is 5000 / 4 = <<5000/4=1250>>1250.
The number of yellow flowers is (5000 - 1250) / 3 = 1250.
The number of pink flowers is 5000 - 1250 - 125... |
A garden has 5000 trees. There are 1000 apple trees, 450 peach trees, 210 plum trees, the rest are pear trees. How many pear trees are there in the garden?
Answer: There are 5000-1000-450-210=<<5000-1000-450-210=3340>>3340 pear trees.
#### 3340
Question: Mike has 999 coins. He gave 334 to Anna and 222 coins to Becky.... |
A farmer has 800 cows on his farm. He has 3 times as many cows as he has sheep. How many sheep does he have?
Answer: Let the number of sheep be x. Then, the number of cows is 3x. We know that the number of cows is 800, so we can set up the equation 3x = 800. Solving for x, we get x = 800/3 = 266.67. Since the number ... |
A farmer has 800 sheep for sale. Half of the sheep have black wool, 20 percent of the sheep have white wool, and the remaining sheep have mixed colors of wool. If it's winter, he sells 80% of black wool sheep and 60% of white wool sheep. In a summer season, he only sells 40% of the black wool sheep and 20% of the whit... |
A pet store has 60 animals. If one-third of them are cats, one-fourth of them are dogs and the rest are rabbits. How many rabbits does the pet store have?
Answer: The number of cats is 60 x 1/3 = 20.
The number of dogs is 60 x 1/4 = 15.
So, the number of rabbits is 60 - 20 - 15 = 25.
#### 25
Question: A parallelogram... |
A jar of peanut butter which is 3 inches in diameter and 4 inches high sells for $\$0.60$. At the same rate, what would be the price for a jar that is 6 inches in diameter and 6 inches high?
Answer: The volume of the first jar is $\pi r^2 h = \pi \left(\frac{3}{2}\right)^2 4 = 9\pi$ cubic inches.
The volume of the se... |
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