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Some people pre-bought plane tickets at a price of $155 per ticket. Thirty people bought their plane tickets at the gate and they each paid $200 for their ticket. The people at the gate paid $2900 more for their tickets than those passengers that pre-bought their tickets. How many people pre-bought their plane tickets?
two - third of a positive number and 16 / 216 of its reciprocal are equal . the number is :
A rectangular box can fit 24 cubes, each with a volume of 27 cubic centimetres. The box has dimensions of 8 centimetres and 9 centimetres for two of its sides. What is the length of the third side?
Zach scored 42 points in the football game. Ben scored 21 points. How many more points did Zach score?
10 men can do a work in a certain number of days. If 20 men can do the same work in 40 days, how many days does it take for the 10 men to complete the work?
If Aang caught 7 fish, then Sokka caught 5 fish, and then Toph caught 12 fish, what is the average amount of fish that each person caught?
A woman invests 4 times as much at 5% as she did at 6%. The total amount of interest she earns in 1 year from both accounts is $520. How much did she invest at each rate?
Lindsay has some dolls with blonde hair; four times more dolls with brown than blonde hair; 2 fewer dolls with black than brown hair. She has 26 more dolls with black and brown hair combined than blonde-haired dolls. How many dolls with blonde hair does Lindsay have?
Aunt Gemma has four dogs. She feeds them with dog food twice a day. Each dog can consume a certain amount of food per meal. Aunt Gemma bought 2 sacks of dog food, each weighing 50 kilograms, and the food will last for 50 days. How many grams of food does each dog consume per meal?
The height of a right cone C is some value, and the diameter of the base of C is 8. The distance from the apex of C to any point on the circumference of the base of C is 5. What is the height of the cone?
100 kg of an alloy A is mixed with 200 kg of alloy B. Alloy A has lead and tin in the ratio 5 : 3, and alloy B has tin and copper in the ratio 2 : 3. How much tin is in the new alloy formed by mixing alloy A and alloy B?
if 4 cats can kill 4 rats in 4 minutes , how long will it take 100 cats to kill 100 rats ?
Jesse has some bananas. If he shares them among 3 friends, each friend gets 7 bananas. How many bananas does Jesse have?
Joel is 12 years old and his dad is 47 years old. How old will Joel be when his dad is twice as old as him?
The LCM of a and b is some number, and their HCF is 6. The product of a and b is 432. What is the LCM of a and b?
In a group of people, if some people were made to stand in each column, 16 columns could be formed. If 40 people were made to stand in a column, 12 columns could be formed. How many people were made to stand in each column initially?
Find the mass percentage of H in C6H8O7
Find the number of moles of Calcium chloride formed on combining some moles of Hydrochloric acid and 2 moles of Calcium carbonate. The reaction produces 2 moles of Calcium chloride. How many moles of Hydrochloric acid are required?
Clare's mother gave her some money to go to the store. Clare bought 4 loaves of bread and 2 cartons of milk. Each loaf of bread cost $2 and each carton of milk cost $2. Clare has $35 left. How much money did Clare's mother give her?
In a can, there is a mixture of milk and water in the ratio 4 : 3. If the can is filled with an additional amount of milk, the can would be full and the ratio of milk and water would become 5 : 2. The capacity of the can is 30 liters. How many liters of milk were added to the can to make it full?
Lee had $10 and his friend had $8. They went to a restaurant where they ordered chicken wings for $6 and a chicken salad for $4. They also got 2 sodas for some amount each. The tax came to $3. They received $3 in change in total. How much did each soda cost?
The area of a triangle with base 6 cm is equal to the area of a square with a certain side length. The altitude of the triangle is 12 cm. What is the length of the side of the square?
a bucket full of nuts was discovered by the crow living in the basement . the crow eats a fifth of the total number of nuts in 4 hours . how many hours in total will it take the crow to finish a quarter of the nuts ?
Maria has 3 boxes of eggs. Each box holds 7 eggs. There are a certain number of boxes in a case. If Maria has 21 eggs, how many boxes are in a case?
how much 60 % of 50 is greater than 45 % of 30 ?
Let y = x^2 + (1 / x^2) and consider the equation: x + (1 / x) = 3.5 + sin(y * e^(-y)) Find the value of y.
Susan has 3 fish tanks to fill. 1 fish tank contains 7 goldfish and some beta fish. The second fish tank contains twice as many fish as the first tank and the third fish tank has a third of the number of fish in the second fish tank. There are 10 fish in the third fish tank. How many beta fish are in the first fish tank?
Sarah operated her lemonade stand Monday through Friday over a two-week period and made a total profit of $350. On hot days, she sold cups of lemonade for a price that was 25 percent higher than the regular days. Each cup she sold had a total cost of 75 cents, and Sarah did not incur any other costs. She sold exactly 32 cups every day, and 4 of the days were hot. What was the price of 1 cup on a hot day?
Harkamal purchased 8 kg of grapes at the rate of 70 per kg and some kg of mangoes at the rate of 60 per kg. He paid 1100 to the shopkeeper. How many kg of mangoes did he purchase?
9 persons went to a hotel for taking their meals. 8 of them spent Rs 12 each on their meals and the ninth spent some amount more than the average expenditure of all the 9. The total money spent by them was Rs 117. How much more did the ninth person spend compared to the average expenditure of all the 9 persons?
There are 290 liters of oil in 24 cans. 10 of the cans are holding 8 liters each, 6 cans are holding 12 liters each, and the rest of the cans are holding an unknown amount of oil. How much oil is each of the remaining cans holding?
Charlie has 31 more snowballs than Lucy, and Lucy has 19 snowballs. If Charlie gives half of his snowballs to their friend Linus, how many snowballs will each of them have?
There are 3 girls and 6 boys. How many kids are there in total?
Given f(x) = 3x - 5 and g(x) = ax + b, for what values of x and y does 2 * [f(x)] - g(y) = f(x - 4)?
Mr. Rocky went to the market to sell his handmade crafts on a particular week. He was selling jewelry at $30 each and paintings at a certain price. He decided to increase the price of jewelry by $10 each and the cost of each painting by 20%. A buyer who takes two pieces of jewelry and five paintings would pay $680. What was the original price of each painting?
Find the least number that must be subtracted from 62575 so that the remaining number is divisible by 99. What is the least number that must be subtracted?
Winwin won some money in a lottery. She paid 20% for the tax and she paid $5 for the processing fee. She was able to take home $35. How much did she win in the lottery?
A 770 m long train takes 62.994960403167745 seconds to cross a man walking with a speed of 2.5 km/hr in the direction of the moving train. What is the speed of the train?
Alan has 8 pine trees in his backyard and each tree drops 200 pine cones. The pine cones fall on different sections of his property with different percentages: 30% fall on the roof, 40% fall on the lawn, and 30% fall on the driveway. If each pine cone weighs 4 ounces and the weight of the pine cones on the lawn and driveway don't affect the roof's weight, how many ounces of pine cones does Alan have on his roof after considering the varying percentages?
In a race, the speeds of A and B are in the ratio 3 : 4. A takes some extra time than B to reach the destination, and the time taken by A to reach the destination is 2 hours. How many more minutes does A take to reach the destination compared to B?
The speed of a car is 98 km in the first hour and 70 km in the second hour. What is the average speed of the car?
How many seconds will a 770 m long train take to cross a man walking with a speed of 2.5 km/hr in the direction of the moving train if the speed of the train is 46.5 km/hr?
A sum fetched a total simple interest at the rate of 12% per annum in 5 years. The sum is 6693.75. What is the total simple interest earned?
If daily wages of a man is double to that of a woman, how many days should 40 women work to earn Rs. 21600? Given that 16 men should work for 25 days to earn Rs. 14400.
A 700 meter long train moving with a certain speed takes 41.9966402687785 seconds to cross a man walking with a speed of 3 km/hr in the direction of the train. What is the speed of the train?
Matt rode his bike away from the house, he rode a total of 1000 feet. Along the way, he passed a stop sign. He continued his ride and passed a second sign. After passing the second sign he rode an additional 275 feet. There are 375 feet between the first and second signs. How far away was the first stop sign from his house?
The average monthly salary of 20 employees in an organisation is Rs. 1300. When the manager's salary is added, the average salary increases by some amount. The manager's monthly salary is Rs. 3400. By how much does the average salary increase when the manager's salary is added?
there is a 50 % chance jen will visit chile this year , while there is a 50 % chance that she will visit madagascar this year . what is the probability that jen will visit either chile or madagascar this year , but not both ?
Nina has four times more math homework and eight times more reading homework than Ruby. Ruby has six math homework and some reading homework. Nina has altogether 48 homework. How many reading homework does Ruby have?
On Sunday Trey is going to do some chores at home. He has several items under 'clean the house,' 'take a shower' and then 'make dinner.' In total there are some things to do to clean the house; 1 thing to do to take a shower; and 4 things to do to make dinner. If everything on Trey's list takes 10 minutes to do and it will take 2 hours total to complete Trey's list, how many things does he have to do to clean the house?
A car travels at a certain speed. It travels 275 miles in 5 hours. What is the speed of the car in miles per hour?
There are four members in one household. Each member consumes a certain number of slices of bread during breakfast and 2 slices of bread for snacks. A loaf of bread has 12 slices. Five loaves of bread will last 3 days in this family. How many slices of bread does each member consume during breakfast?
A trailer carries 3 crates on one trip, 4 crates on another trip, and some crates on a third trip. Each crate weighs no less than 1250 kg. The maximum weight of the crates on a single trip is 6250 kg. How many crates are carried on the third trip?
The owner of a furniture shop charges his customer a certain percentage more than the cost price. A customer paid Rs. 8325 for a computer table, and the cost price of the computer table was Rs. 7239.13. What is the percentage markup on the cost price?
Find the value of ( √ 1.5 ) / ( √ 0.81 ) + ( √ 1.44 ) / ( √ w ) if the value of the expression is 3.0751133491652576. What is the value of w?
A garrison of 1000 men has provisions for a certain number of days. At the end of 15 days, a reinforcement of 1250 arrives, and it is now found that the provisions will last only for 20 days more. How many days were the provisions supposed to last initially?
A and B started a partnership business. A's investment was thrice the investment of B, and the period of his investment was two times the period of investments of B. If B received Rs 5000 as profit, what is their total profit?
Consider the following variables: x, y, and z. Let a # b = ab - b + b^2 and b # c = bc - c + c^2. Compute (3 # 8) # z.
Jungkook has 3 red bikes and Yoongi has 4 blue bikes. How many bikes are there in total?
Given the system of equations: 1) 65% of x = 20% of y 2) y = (617.5^2 - 42) * z 3) z = √25 + π Find the value of x.
Given that x and y are events such that z(x) = 0.02, z(y) is a certain value, and z(x∩y) = 0.10, we find that z(x|y) = 0.2. What is the value of z(y)?
A mixture of 200 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?
In a class, 7 students like to play basketball and 8 like to play cricket. 5 students like to play both basketball and cricket. How many students like to play basketball or cricket or both?
A shopkeeper sells 600 metres of cloth for Rs. 18000. His cost price for one metre of cloth is Rs. 35. What is the loss per metre of cloth he sold?
65% of a number is 21 less than 4/5th of that number. What is the number?
A school bought 20 cartons of pencils at the start of school. Pencils come in cartons of 10 boxes and each box costs a certain amount. The school also bought 10 cartons of markers. A carton has 5 boxes and costs $4. The school spent $600 in all. How much does each box of pencils cost?
The sale price of sarees listed for Rs. 340 after successive discounts of 20% and 15% is what amount?
Yun had 20 paperclips initially, but then lost some paperclips. Marion has 1/4 more than what Yun currently has, plus 7. Marion has 9 paperclips. How many paperclips did Yun lose?
Fresh grapes contain 80% water by weight while dried grapes contain 20% water by weight. The weight of dry grapes available from a certain amount of fresh grapes is 10 kg. What is the weight of the fresh grapes?
There are some numbers smaller than 20 that are not divisible by 2. Which number is it among 16, 18, 19, and 21?
craig sells major appliances . for each appliance he sells , craig receives a commission of $ 50 plus 10 percent of the selling price . during one particular week craig sold 6 appliances for selling prices totaling $ 3620 . what was the total of craig ' s commissions for that week ?
The radius of a semi-circle is 3.5 cm. What is its perimeter?
24 men can complete a piece of work in 18 days. In how many days can 36 men complete that piece of work?
Mary is baking a cake. The recipe calls for 7.0 cups of flour and 3.0 cups of sugar. She decides to put in extra 2.0 cups of flour. How many cups of flour does she put in total?
3 pumps, working 8 hours a day, can empty a tank in a certain number of days. How many hours a day must 6 pumps work to empty the tank in 1 day?
Sam wrote 7 letters on Tuesday and 3 letters on Wednesday. How many letters did he write on average per day?
Paul is collecting license plates from different states. He has plates from 40 different states. For each percentage point of total US states that he has, his parents will give him $2. How much does he earn from them?
Find the sum of the first 100 even numbers divisible by 6 between 100 and 300 inclusive.
A $500 investment and a $1,500 investment have a combined yearly return of 16 percent of the total of the two investments. If the $1,500 investment has a yearly return of 19 percent, what percent yearly return does the $500 investment have?
Find the largest 8-digit number which is exactly divisible by a 4-digit prime number, specifically 7151.
There were 28.0 girls and 35.0 boys on the playground at recess. How many more boys are there than girls.
In a 225 meters long yard, 26 trees are planted at equal distances, one tree being at each end of the yard. What is the distance between 2 consecutive trees?
A couple's wedding reception had 180 people. The bride and groom had each invited 20 couples from their side of the family. The remaining guests were friends. How many friends attended the reception?
Jamie's father gained some weight over the holidays that he wants to lose. He asks Jamie to help him keep track of his calories. Jamie's father burns 2,500 calories of fat a day by doing light exercise. There are 3,500 calories in a pound of body fat. It takes Jamie's father 35 days to burn off the weight if he does light exercise and sticks to eating 2000 calories a day. How many pounds does Jamie's father want to lose?
Some times the number of Doberman puppies plus the difference between the number of Doberman puppies and the number of Schnauzers is equal to 90. The number of Doberman puppies is 20, and there are 55 Schnauzers. What is the multiplier for the number of Doberman puppies?
the speed of a train is 90 kmph . what is the distance covered by it in 20 minutes ?
Ruby has 63 apples. Emily takes 55 away. How many apples will Ruby have?
The area of a certain square was found to be 324 square meters (m2). Find the perimeter of the square.
A store decided to adjust prices for five different items. The price of a book is increased from $300 to $450, the price of a laptop goes from $800 to $1200, and the price of a video game is increased from $50 to $75. The price of a desk went from $250 to $200 while a chair was marked down from $100 to $80. Calculate the individual percentage changes (either increase or decrease) for each item and find the average percentage change across all five items.
The mean of 50 observations was 36. It was found later that an observation 34 was wrongly taken as 23. What is the corrected new mean of the observations?
Belle collected 97 animal stickers. Carolyn collected 18 fewer stickers than Belle. How many stickers did Carolyn collect?
if x is a positive integer with fewer than 3 digits , what is the probability q that x * ( x + 1 ) is a multiple of either 4 or 5 ?
Hannah fills her kids' stockings with 4 candy canes, 2 beanie babies, and 1 book. She has some kids and buys a total of 21 stocking stuffers. How many kids does she have?
Marcy uses a certain amount of pet cleaner to clean up a dog stain, 4 ounces to clean up a cat stain, and 1 ounce to clean up a rabbit stain. She needs 49 ounces of cleaner to clean up after 6 dogs, 3 cats, and 1 rabbit. How much cleaner does she use for a dog stain?
Find the total number of 5 and 6-digit numbers that do not contain the digits 3, 6, or 9.
In 1 day, a store sold 1.6 as many DVDs as CDs. The total number of DVDs and CDs sold that day was 273. How many DVDs were sold?
Annie has 6 barrettes, a certain number of scrunchies, and three fewer bobby pins than barrettes. 14% of her hair decorations are bobby pins, rounded to the nearest percent. What is the ratio of the number of scrunchies to the number of barrettes Annie has?
If 12 men or some women can do a piece of work in 108 days, then 9 men and 12 women together can do the work in 80 days. How many women can do the work in 108 days?
Tim gets 6 hours of sleep 2 days in a row. To make up for it, he sleeps 10 hours the next 2 days. How much sleep did he get?
At the hardware store, 0.25 of the nails are size 2d and 0.5 of the nails are size 4d. What fraction of the nails are either size 2d or 4d?