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Pat, Kate, and Mark charged a total of 144 hours to a certain project. Pat charged twice as much time to the project as Kate and some ratio of time as Mark. Mark charged 80 more hours to the project than Kate. What is the ratio of the time charged by Pat to the time charged by Mark?
Frank invites his friends over to play video games. He bakes a pan of brownies before he arrives. He cuts some even columns and 3 even rows into the pan of brownies. There are 6 people, including Frank, in total, and they can each eat 3 brownies. How many columns did Frank cut into the pan of brownies?
Debelyn had some dolls before she gave Andrena 2 dolls. Christel had 24 dolls before giving Andrena 5 dolls. After all the gifts, Andrena now has 2 more dolls than Christel, and Andrena has 3 more dolls than Debelyn. How many dolls did Debelyn have initially?
the function f ( y ) represents the number of ways that prime numbers can be uniquely summed to form a certain number y such that y = a + b + c + d … where those summed variables are each prime and a ≤ b ≤ c ≤ d . . . for instance f ( 8 ) = 3 and the unique ways are 2 + 2 + 2 + 2 and 2 + 3 + 3 and 3 + 5 . what is f ( 12 ) ?
If a man lost 4% by selling oranges at the rate of 60 a rupee, at how many a rupee must he sell them to gain 44%?
A teacher divided the students in two groups, group A and group B. The ratio of the number of students in group A to group B is 3:2. Now, 10 % of the number of students in group A is more than 20 % of the number of students in group B by 190. If there are 650 students in group B, find the total number of students in both groups.
A train of a certain length crosses an electric pole in 0.9999200063994881 seconds, with its speed being 144 km/hr. How long is the train?
a shopkeeper sold an article offering a discount of 5 % and earned a profit of 20.65 % . what would have been the percentage of profit earned if no discount was offered ?
Hannah has three dogs. The first dog eats 1.5 cups of dog food a day. The second dog eats a certain ratio of the first dog's food while the third dog eats 2.5 cups more than the second dog. Hannah should prepare 10 cups of dog food in a day for her three dogs. What is the ratio of the amount of dog food the second dog eats to the amount the first dog eats?
A man is 35 years older than his son. In two years, his age will be some multiple of the age of his son. The present age of his son is 33. What is the ratio of the man's age to his son's age in two years?
John invests $2000 at an interest rate of 8% per annum for the first 2 years, and then 12% per annum for the next few years. After a total of 't' years, the future value of his investment is $6620, considering the change in interest rate and without making any additional investments or withdrawals. What is the value of 't'?
John is a door-to-door salesman. He visits 50 houses a day, and on average, 30% of the customers buy something from him. Out of those customers: - 35% buy a $50 set of knives, - 40% buy a $150 set of knives, - 15% buy a $75 kitchen gadget, and - 10% buy a $200 deluxe kitchen set. How much does he sell in a week when he works 6 days a week, considering that on the last day of the week, he offers a 10% discount on all products?
Determine x such that 10111 - 10 * 2 * (5 + x) = 0
A man buys a cycle for some amount and sells it at a loss of 15%. The selling price of the cycle is Rs. 680. What is the original price of the cycle?
speed of a boat in still water is 5 km / hr and speed of the stream is 2 kmph . a man rows to a place at a distance of 252 km and comes back to the starting point the total time taken by him is .
A certain bag contains 60 balls — 22 white, 10 green, 7 yellow, 15 red, and 6 purple. If a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple?
A certain drink of type A is prepared by mixing 4 parts milk with 3 parts fruit juice. Another drink of type B is prepared by mixing 4 parts of fruit juice and 3 parts of milk. How many liters of fruit juice must be added to a certain amount of drink A to convert it to drink B, if 7 liters of fruit juice are needed for the conversion?
If Jake loses 33 pounds, he will weigh twice as much as his sister. Together, Jake and his sister now weigh 153 pounds. Jake's brother weighs 20 pounds less than the sum of Jake and his sister's weight. If Jake's brother's weight is 4/3rds of the weight difference between Jake and his sister, what are the weights of Jake, his sister, and his brother in pounds?
A hay farmer harvested 560 bales of hay from 5 acres of grass per month last year. This year, he planted an additional 7 acres of grass. The farmer also owns 9 horses and each horse consumes 3 bales of hay a day. How many bales of hay would the farmer have left by the end of December if he starts feeding them this year's hay beginning the first day of September?
John assembles computers and sells prebuilt computers as a business. The parts for the computer cost $800. He sells the computers for 1.4 times the value of the components. He manages to build 60 computers a month. He has to pay a certain amount in rent and another $3000 in non-rent extra expenses a month. He makes a profit of $11200 a month. How much does he pay in rent a month?
A car traveling at a certain constant speed takes some seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 90 kilometers per hour. The car is traveling at 85.71428571428571 kilometers per hour. How many seconds longer does it take for the car to travel 1 kilometer at its current speed compared to 90 kilometers per hour?
If p = 125 × 243 × 16 / 405, how many digits are in p?
The numerator of a fraction is increased by some percentage and its denominator is diminished by 25%. The value of the fraction becomes 2/15. The original fraction is 0.08333333333333334. What is the percentage increase in the numerator?
jean drew a gumball at random from a jar of pink and blue gumballs . since the gumball she selected was blue and she wanted a pink one , she replaced it and drew another . the second gumball also happened to be blue and she replaced it as well . if the probability of her drawing the two blue gumballs was 16 / 49 what is the probability that the next one she draws will be pink ?
Jack goes up some flights of stairs, then down six flights of stairs. Each flight of stairs has 12 steps that are each 8 inches high. Jack is 24 feet further down than when he started. How many flights of stairs did Jack go up initially?
During a pizza buffet, A eats 1.8 times more than B, and B eats 8 times less than C. What is the least number of times all the three have to eat?
In a kilometer race, A beats B by some meters or 10 seconds. A takes 156.67 seconds to complete the race. By how many meters does A beat B?
If the ratio of a to b is some ratio and the ratio of b to c is 1 to 5, then the ratio of a to c is 0.26666666666666666. What is the ratio of a to b?
the h . c . f of two numbers is 23 and the other two factors of their l . c . m are 15 and 16 . the larger of the two numbers is :
Betty’s herb garden has 2 more than twice as many oregano plants as basil. If there are 5 basil plants, what is the total number of plants in the garden?
There are 9 crayons in the drawer . Benny placed 3 crayons in the drawer . How many crayons are now there in total ?
The Razorback T-shirt Shop makes a certain amount off each t-shirt sold. During the Arkansas and Texas Tech game they sold 245 t-shirts and made $2205. How much money did they make off each t-shirt sold?
In Dichromate, Cr has a certain mass percentage. The mass percentage is 35.14%. What term is used to describe the proportion of an element's mass in a compound?
A cycle is bought for Rs. 1500 with a 5% discount, an additional 10% sales tax, and a Rs. 300 shipping fee. It is then sold for Rs. 1620 before deducting a 5% seller's commission and donating 2% of the selling price to charity. Find the gain percentage on the original cost price.
There are 54 positive integers h less than 10000 such that the product of their digits is a certain value. What is the product of the digits of these integers?
Determine the partial pressure of CO gas in a mixture containing CO, CO2, and O2 gases with given mole fractions, where the total pressure is 750 mmHg and the temperature is 300K.
Sam found 18 seashells, and Mary found 47 seashells on the beach. How many seashells did they find together?
Amanda charges $20.00 per hour to help clean out and organize a person's home. She has 5 appointments on Monday, each lasting a certain number of hours, a 3-hours appointment on Tuesday and 2 2-hours appointments on Thursday. On Saturday, she will spend 6 hours at one client's house. She will make $410 this week. How long is each appointment on Monday?
A school buys 1,093 chairs with a budget of $12,000. They want to distribute these chairs equally into 35 classrooms, but some classrooms have a maximum capacity of 40 chairs while others have a capacity of 30 chairs. There are 20 classrooms with a capacity of 40 chairs and 15 classrooms with a capacity of 30 chairs. How many more chairs should be purchased without exceeding the budget, and what is the cost per chair?
If f(x) = 2x^2 + y, and f(2) = 60, what is the value of f(5)?
Jerry had 3 action figures on a shelf in his room. Later he added 4 more action figures to the shelf and removed some of the old ones. If there are 6 action figures on his shelf now. How many action figures did he remove from the shelf?
A group of friends eat at a fast-food chain and order the following: 5 pieces of hamburger that cost $3 each; 4 sets of French fries that cost $1.20; 5 cups of soda that cost $0.5 each; and 1 platter of spaghetti that cost $2.7. They split the bill equally and each of them pays $5. How many friends are in the group?
Gabriel is looking at her marble sets. In the first set, 10% of her marbles are broken. In the second set, some percentage of the marbles are broken. The first set contains 50 marbles. The second set contains 60 marbles. In total, 17 marbles are broken. What percentage of marbles are broken in the second set?
A man buys an article for $10 and sells it for some amount. The gain percent is 150%. What was the selling price of the article?
In a coconut grove, there are 3 types of trees. Type A consists of (x + 1) trees that are y years old and yield 60 nuts per year. Type B consists of x trees that are z years old and yield 120 nuts per year. Type C consists of (x - 1) trees that are w years old and yield 180 nuts per year. The annual growth rate for the total number of trees in the grove is 5%. If the average yield per year per tree is 100 nuts, and the sum of the ages of all tree types (y, z, and w) is 60, find x, y, z, and w.
Jayes can eat 25 marshmallows in a certain amount of time. Dylan can eat 25 in one hour. Together, they can eat 150 marshmallows in 1 hour. How many minutes does it take for Jayes to eat 25 marshmallows?
A watch was sold at a loss of 25%. If it was sold for Rs. 200 more, there would have been a gain of 10%. What is the cost price?
Sarah's age is equal to three times Mark's age minus 4. Mark is four years older than Billy. Billy is a certain fraction of Ana's age. If Ana will be 15 in 3 years, how old is Sarah?
x is the product of each integer from 1 to 100, inclusive, and y = 200 ^ k, where k is an integer. What is the greatest value of k for which y is a factor of x?
In 1 day, a store sold some DVDs and CDs. The total number of DVDs and CDs sold that day was 273. The store sold 168 DVDs. What is the ratio of the number of DVDs sold to the number of CDs sold?
The average monthly income of a family with some earning members was Rs. 840. One of the earning members died, and therefore, the average income came down to Rs. 650. The income of the deceased was Rs. 1410. How many earning members were there initially in the family?
Pearl wants to order 5 monogrammed Christmas stockings for each of her 5 grandchildren and her own 4 children. The stockings are $20.00 each and currently 10% off. The monogramming will cost a certain amount per stocking. The stockings cost $1035. How much does the monogramming cost per stocking?
Youseff lives 6 blocks from his office. It takes him a certain amount of time per block to walk to work and 20 seconds per block to ride his bike to work. It takes him exactly 4 minutes more to walk to work than to ride his bike to work. How long does it take him to walk one block?
Alison has half as much money in GBP as Brittany. Brittany has 4 times as much money in USD as Brooke. Brooke has twice as much money in EUR as Kent. Kent lent Charlie 20% of his money in AUD, and Charlie lent Daniella half of his remaining money in JPY. After converting to GBP, Daniella has three times the amount of money that Elle has in GBP. Given that 1 GBP = 1.35 USD = 1.15 EUR = 2 AUD = 150 JPY, and Kent originally had £1,000 in GBP before lending money to Charlie, how much money does Alison have in GBP?
Carol and Jordan draw rectangles of equal area. If Carol's rectangle measures 5 inches by 24 inches and Jordan's rectangle is 8 inches long, how wide is Jordan's rectangle, in inches?
Mary is baking a cake. The recipe calls for 9 cups of flour and 3 cups of sugar. She already put in some cups of flour and needs to add 7 more cups of flour. How many cups of flour has she already put in?
The amount of time that five people worked on a special project was in the ratio of 3 to 4 to 5 to 6 to 7. They all worked only on weekdays. If the project took 1800 hours, and the hardest working person didn't work on Wednesdays and Fridays, while the person who worked the least didn't work on Mondays and Thursdays, how many more hours did the hardest working person work than the person who worked the least?
an error 2.5 % in excess is made while measuring the side of a square . the percentage of error in the calculated area of the square is
In a party, every person shakes hands with every other person. There were some handshakes in the party, and there were 17 persons present. How many handshakes occurred in the party?
in what time will a train 600 meters long cross an electric pole , if its speed is 144 km / hr
For any number z, z * is defined as the greatest positive even integer less than or equal to y. What is the value of 6.15 – 6.15 *?
Mike played some games of basketball with his friends. If Mike scored four points each game and scored a total of 24 points, how many games did he play?
x varies inversely as the square of y. Given that x = 1 for a certain value of y, the value of x for y = 4 is equal to 0.5625. What is the value of y when x = 1?
What is the molecular weight of some moles of Aluminum oxide if the molecular weight of 5 moles is 510?
Sally, Sam, and Steve went to play with their marbles. In the beginning, Sam has a certain number of marbles while Sally has 5 less than Sam. After Sam has given Sally and Steve 3 marbles each, Sam has 8 marbles left. Steve now has 10 marbles. What is the ratio of the number of marbles Sam had initially to the number of marbles Steve had initially?
Tamara, Nora, and Lulu have been saving to pay off a $40 debt. So far, Nora has saved five times what Lulu has, but three times Tamara’s savings. They paid off the debt and divided the remaining money equally, and each girl got $2. How much money did Lulu save?
In a certain lab experiment with white and brown mice only, there is a specific ratio of white mice to the total number of mice. There are 14 white mice in the experiment, and there are 7 brown mice in the experiment. What is the ratio of white mice to the total number of mice?
A group of 8 girls went to a spa for nail polishing. If each girl got all the fingers of both hands and legs polished. Find the total number of fingers the spa staff polished.
The average of 50 numbers is 62. If two numbers, namely 45 and 55, are discarded, what is the average of the remaining numbers?
If 6 pr = 360 and if 6 cr = 15, find r?
In a collection of 200 stamps, some are foreign and 50 are more than 10 years old. If 20 stamps are both foreign and more than 10 years old, then 90 stamps are neither foreign nor more than 10 years old. How many stamps are foreign?
45 % of major airline companies equip their planes with wireless internet access . 70 % of major airlines offer passengers free on - board snacks . what is the greatest possible percentage of major airline companies that offer both wireless internet and free on - board snacks ?
Karen is paddling her canoe up a river against the current. On a still pond, Karen can paddle 10 miles per hour. The river flows in the opposite direction at 4 miles per hour. The river is of a certain length. It takes Karen 2 hours to paddle up it. How long is the river?
Free notebooks were distributed equally among children of two classes, Class A and Class B. The number of notebooks each child got in Class A was one-eighth of the number of children in that class. In Class B, the number of notebooks each child got was twice the number of children in Class A. Had the number of children in Class A been half, each child in that class would have received 16 notebooks. If the total number of children in both classes is 20% more than that in Class A, determine the total number of notebooks that were distributed between the two classes.
Every year, an amount increases by 5/12 of itself. How much will it be after three years if its present value is Rs. 1600 and the annual increment function follows a custom exponential formula: f(t) = (1 + (5/12))^t, where t is the number of years?
During a journey, a bus travels at varying speeds and stops at irregular intervals. When the bus is in motion, its average speed is 75 km/hr, while its overall average speed, including stoppages, is 40 km/hr. Determine the average time in minutes the bus spends stopped per hour, considering the entire journey consisted of both high-speed and low-speed segments, as well as stops of different durations.
rates for having a manuscript typed at a certain typing service are $ 5 per page for the first time a page is typed and $ 3 per page each time a page is revised . if a certain manuscript has 200 pages , of which 80 were revised only once , 20 were revised twice , and the rest required no revisions , what was the total cost of having the manuscript typed ?
There are 264 dogs in a park. 15% of the dogs are running, 1/4 of them are playing with toys, 1/6 of them are barking, 10% of them are digging holes, and 12 dogs are competing in an agility course. How many dogs are not doing anything?
The side of a square is increased by 35%. How much does the percentage of its area increase, considering squares with side lengths of 5, 10, and 15 units?
A woodworker normally makes a certain number of parts in 24 days. He increased his productivity by 5 parts per day, and so he finished the job in 22 days. The woodworker normally makes 360 parts in 24 days. How many extra parts did he make after increasing his productivity?
a box measuring 27 inches long by 15 inches wide by 6 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ?
John buys some notebooks that have 40 pages each. He uses 4 pages per day. The notebooks last for 50 days. How many notebooks did John buy?
Jack went to a supermarket with $200. He bought 4 bottles of sparkling water, and each bottle costs $3. There was a 10% discount on sparkling water. Then, his mother called him and asked him to buy three times as many bottles of still water as the sparkling water he already bought, each still water costs $2.50. The still water had a "buy 2, get 1 free" promotional offer. In addition, he needed to buy 2.5 pounds of cheddar cheese and 1.75 pounds of swiss cheese. The cheddar cheese costs $8.50 per pound and the swiss cheese costs $11 per pound. There is a 5% sales tax on cheese purchases. How much money does Jack have remaining after purchasing all the items, applying the discounts, and accounting for the sales tax?
If the speed of a man is 66 km per hour, then what is the distance traveled by him in a certain number of seconds if he covers 550.044 meters during that time?
A department store held a sale to sell all of the 214 winter jackets that remained after the season ended. Until noon , each jacket in the store was priced at 31.95 dollars. At noon , the price of the jackets was further reduced to 18.95 dollars. After the last jacket was sold , the total receipts for the clearance sale were 5108.30 dollars. How many jackets were sold after noon?
Sandra eats 3 beignets every morning. She will eat a certain number of beignets in a certain number of weeks. If she eats 336 beignets, how many weeks does this period cover?
A can do a piece of work in some days, B can do a piece of work in 12 days. Both are working together for 3 days after A left the job. B requires 3 more days to complete the remaining work. How many days does A take to complete the work alone?
In a house, there are 16 cats. Two of them are white, and 25% of them are black. After half the black cats left, 2 more white cats showed up. Among the white cats, there is one that is twice as old as the others and the rest of the cats are grey. However, a grey cat that is three times older than the oldest white cat comes to the house. After all these occurrences, how many grey cats are in this house?
Two cyclists start on a circular track from a given point but in opposite directions. One cyclist has a speed of 7 m/s, and the other has a speed of 8 m/s. If the circumference of the circle is 600 meters, after how many seconds will they meet at the starting point if the first cyclist's speed was different?
the speed at which a man can row a boat in still water is 22 kmph . if he rows downstream , where the speed of current is 3 kmph , what time will he take to cover 80 metres ?
In Kaya's teacher's desk there are 47 pink highlighters, 36 yellow highlighters, 21 blue highlighters, 15 orange highlighters and 27 green highlighters. How many highlighters are there in all?
Jerry's average (arithmetic mean) score on the first 3 of 4 tests is some value. If Jerry wants to raise his average by 2 points and needs to score 89 on the fourth test, what is his current average score?
Trevor needs to go downtown for a restaurant date. An Uber ride downtown costs $3 more than a Lyft ride. A Lyft ride costs $4 more than a taxi ride. The Uber ride costs $22. Trevor takes a taxi downtown. The total cost of the ride downtown is $18. What percentage of the original cost of the taxi ride does Trevor tip the taxi driver?
In a mixed soccer team, there are an equal number of right- and left-handed players, distributed across the four main positions: forwards, midfielders, defenders, and goalkeepers. On a certain day, one-third of the players were absent from the morning practice session. During the afternoon practice session, 25% of the players were absent, and among the attending players, one-third were left-handed. The attendance ratios with respect to handedness were different for each player position. If N1 represents the number of right-handed forwards who were not present in the morning practice and N2 represents the number of left-handed defenders who were not present in the afternoon practice, what is the ratio of N1 to N2?
A train of a certain length running at the speed of 72 km/hr takes 16.5986721062315 seconds to cross a bridge 132 m in length. How long is the train?
If taxi fares were $8.00 for the first 1/5 mile and some amount for each 1/5 mile thereafter, then the taxi fare for an 8-mile ride was $39.2. What was the fare for each 1/5 mile after the first 1/5 mile?
My brother and I have thirty minutes to go to school, without being late. It usually takes us 15 minutes to arrive at the school gate if there's no traffic, but with traffic, it can take up to 25 minutes. The worst part is, traffic could be unpredictable and we don't know until we are on the way. After arriving at the school gate, if we walk straight to the school building, it would take 6 minutes. However, for this specific day, we also need to stop by the library to return books and visit the student council room. Walking from the school gate to the library would take approximately 3 minutes, and finding and returning the books an additional 2 minutes. But, if we have more than 3 books to return, which often is the case, it would take an extra 2 minutes. The student council room is another 5 minute walk from the library, and submitting our project would take approximately 3 minutes. Provided all these variables, if the worst-case scenario in traffic occurs and we have more than 3 books to return to the library, how much time do we have left from the moment we leave the student council room to reach our classroom, without being late?
550 is increased by 35%. Find the final number.
Kelly had 56 apples initially. On the second day, she picks 105 apples. On the third day, she picks another 84 apples but eats 23 of them. How many apples does Kelly have altogether now?
The average of 11 numbers is 60. Out of 11 numbers, the average of the first 6 numbers is 88, and the average of the last 6 numbers is 65. Find the value of a specific number in the sequence, which is the 6th number.