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If some machines can produce 20 units in 10 hours, it would take 20 machines 17.5 hours to produce 140 units. How many machines were in the first scenario?
A company has 729 orange slices, 216 apple slices, and 125 lemon slices. They want to put 6 orange slices, 4 apple slices, and 3 lemon slices into each container. If the company had to fill the containers completely, how many more orange slices, apple slices, and lemon slices would they need to fill up the last container?
Mr. Welch and his brother, Mr. Shaw, are both driving to their Grandma's house which is 78 miles away. They decide to take different routes to make it more interesting. Mr. Welch drove 35 miles and took a detour to a bakery, which added an extra 7 miles to his trip. He stopped to buy a pie for dessert and then drove 18 miles more. After that, he realized he forgot to buy a gift and stopped at a store, which added another 3 miles to his journey. He then traveled 12 miles and stopped to put gas in the car, as well as taking a brief 2-mile detour to enjoy a scenic route. Meanwhile, Mr. Shaw took the highway route and drove 45 miles at a constant speed of 65 miles per hour. He then exited the highway and stopped at a farmers market, adding an extra 5 miles to his journey. After shopping, he drove at a speed of 50 miles per hour for the next 15 miles. He stopped to take a quick break and then traveled an additional 10 miles at a reduced speed of 45 miles per hour due to construction. How many more miles do both Mr. Welch and Mr. Shaw have to drive, individually, before they reach Grandma's house?
Cindy was hired to teach 4 math courses which required her to be in the classroom for some hours a week altogether. How much did Cindy earn for teaching 1 math course in a month with exactly 4 weeks if her hourly rate per class is $25? She earned $1,200 for teaching 1 math course.
Maria's monthly salary is $2000. 20% of her salary goes to paying tax, and 5% goes to insurance. Also, a quarter of the money left after the deductions is spent on utility bills. How much money does Maria have after the deductions and utility bills payment?
For the past n days, the average daily production at a company was a certain number of units. Today's production of 90 units raises the average to 45 units per day. The value of n is 9. What was the average daily production before today?
Helen the hippo and her friends are preparing for thanksgiving at Helen's house. Helen baked 19 chocolate chip cookies yesterday and 231 raisin cookies and 237 chocolate chip cookies this morning.. How many more chocolate chip cookies than raisin cakes did Helen bake?
A sports equipment store sold ping pong rackets for a total of $735. The average (arithmetic mean) price of a pair of rackets is unknown. The store sold 75 pairs of rackets. What is the average price of a pair of rackets?
at a bank , the service charges for transactions were us dollar 1 for every 5 transactions . the bank recently revised the charges to us dollar 0.75 for every 3 transactions . by approximately what percent did the ratio of price to transactions increase from the previous charge ?
Bob grew corn in his garden this year and ended up with 120 bushels. This is way too much for him to eat, so he gave some of it away to his friends. His friend Terry took 15 bushels, while Jerry took 8. He gave 25 bushels to his friend Linda, who runs a food pantry. His neighbor Stacy doesn't eat much corn, but she still accepted 42 ears of corn from him. Bob also gave his coworker Susan 9 bushels, and his cousin Tim took 4 bushels along with 18 ears of corn. If each bushel contained 15 ears of corn, how many ears of corn does Bob have left?
A train is moving at 4/5 of its usual speed. The train is late by some minutes. The usual time for the train to complete the journey is 2.0000000000000004 hours. How many minutes is the train late?
Timmy, Tommy, and Tina are filling up a kiddie pool in their backyard. Each has a pail they fill with water from a house before dumping it into the pool. Timmy's pail holds twice as much water as Tommy's, and Tommy's holds 2 gallons more than Tina's, and Tina's is 4 gallons. They fill the pool with a certain amount of water after a specific number of trips each. How many trips do they make each to fill the pool with 66 gallons of water?
A certain number of binders can bind 900 books in 10 days. How many binders will be required to bind 660 books in 12 days if 11 binders are needed for that task?
If some typists can type 60 letters in 20 minutes, then 30 typists working at the same rate complete 270 letters in 1 hour. How many typists were in the initial group?
walking with 4 / 5 of my usual speed , i arrive at the bus stop 9 minutes later than normal . how many minutes does it take to walk to the bus stop at my usual speed ?
The average age of 3 boys is 15 years and their ages are in proportion 3 : 5 : 7. What is the age in years of the eldest boy?
A chocolate chip cookie recipe calls for 2.0 cups of chocolate chips. If you have 23.0 cups of chocolate chips, how many batches can you make.
A cistern 12 m long and 14 m wide contains water up to a certain depth. The total area of the wet surface is 233 m². What is the depth of the water in the cistern?
Libby is building an igloo in her backyard using bricks of snow. She builds her igloo in rows, using a total of 10 rows of bricks of snow. The bottom half of the igloo has 12 bricks of snow in each row while the top half of the igloo has 8 bricks of snow in each row. How many bricks of snow did Libby use for her igloo?
The sum of the fourth and twelfth term of an arithmetic progression is 20. What is the sum of the first 20 terms of the arithmetic progression?
Don can paint 3 tiles a minute, Ken can paint 2 more tiles a minute than Don and Laura can paint twice as many tiles as Ken. Kim can paint 3 fewer tiles than Laura can in a minute. How many tiles can Don, Ken, Laura and Kim paint in 15 minutes?
In a certain warehouse, 70 percent of the packages weigh less than 75 pounds, and a total of some packages weigh less than 25 pounds. If 80 percent of the packages weigh at least 25 pounds, how many of the packages weigh at least 25 pounds but less than 75 pounds?
Consider the following three stocks: 1. Stock A has a 20% yield and a quoted price of $100. 2. Stock B has a 12% yield and a quoted price of $200. 3. Stock C has a 25% yield and a quoted price of $300. Calculate the combined average yield, given the current quoted prices of these three stocks.
Given the variables x = -5, y = 8, and z = 3, what is the value of 2(x - y)^2 - x^3y + z^4y^2 - x^2z^3?
Excluding stoppages, the speed of the bus is 54 kms/hr and with stoppages, it is some kmph. The bus stops for 10 minutes per hour. What is the speed of the bus including stoppages?
A car rents for 30 dollars per day plus 18 cents per mile. You are on a budget of 75 dollars. What mileage would allow you to stay within your budget?
On a purchase of $1,500, a store offered a payment plan consisting of a $200 down payment and 24 monthly payments of $65 each. What is the difference between the total amount paid by the customer using this plan and the original purchase price?
A train of certain length running at the rate of 54 kmph takes 58.9952803775698 seconds to cross a bridge 720 meters in length. How long is the train?
In a can, milk and water are in the ratio of 3:1. If the ratio is made 1:3, then the quantity of water that has to be added further is 100 liters. What is the initial total quantity of milk and water in the can?
Hansel makes $30,000 a year and just received a 10% raise. Gretel makes the same amount as Hansel but received a 15% raise. Rapunzel earns $40,000 a year and got an 8% raise, while Rumpelstiltskin earns $35,000 a year and got a 12% raise. How much more money will Gretel make compared to Hansel, Rapunzel, and Rumpelstiltskin after their respective raises?
Two trains leave simultaneously traveling on the same track in opposite directions. One train travels at 50 miles per hour, and it takes 2.5 hours before they are 285 miles apart. What is the speed of the other train?
In a test of 30 questions, 20 points are given for each correct answer and 5 points are deducted for each one answered incorrectly. If Maria answered all of the questions and got a score of 325, how many did she get correct?
Turner wants to ride the rollercoaster a certain number of times, the Catapult 2 times, and the Ferris wheel once. It costs 4 tickets to ride the rollercoaster, 4 tickets to ride the Catapult, and 1 ticket to ride the Ferris wheel. Turner needs 21 tickets. How many times does Turner want to ride the rollercoaster?
In a factory, there are 90% technicians and 10% non-technicians. If the 90% of the technicians and 10% of non-technicians are permanent employees, what is the percentage of workers who are temporary?
John drove at an average speed of 40 miles per hour and completed the trip from Smallville to Crown City in 30 minutes. Beth's route was 5 miles longer, and it took her 20 minutes more than John to complete the trip. How many miles per hour was Beth's average speed on this trip?
A cricketer scored 96 runs in the 19th inning, which increased his average score by a certain amount. His average score after 19 innings is 24. By how much did his average score increase?
How many liters of a certain percentage alcohol solution must be mixed with 60 liters of a 70% solution to get a 50% solution, if 40 liters of the first solution are used? What is the percentage of the first solution?
Ms. Lopez deposits $150 in an account that pays 15% interest, continuously compounded. How much money will there be in the account at the end of 7 years?
During an online sale, electronic items have a 20% discount, while clothing items have a 15% discount. Additionally, there is a tiered discount: you can get a $20 discount voucher for every $200 spent. If you purchased an electronic item that originally cost $150, and two clothing items costing $80 each, how much did you end up paying after applying all available discounts and vouchers?
If the weight of a certain length of rod is 12.2 kg and the weight of a 6 meters long rod is 6.1 kg, what is the length of the rod that weighs 12.2 kg?
a batsman makes a score of 83 runs in the 17 th inning and thus increases his averages by 3 . find his average after 17 th inning ?
Mary had some baseball cards and promised to give Fred 26.0 baseball cards. She bought 40.0 baseball cards and had 32 baseball cards left after giving the promised cards to Fred. How many baseball cards did Mary have initially?
Lauren wanted to make burgers and fries for dinner. She needed a few things from the grocery store and bought the following: 2 pounds of hamburger meat that was on sale for $3.50 a pound. 1 pack of hamburger buns for $1.50. A head of lettuce for $1.00 and a large 1.5-pound tomato that was priced at $2.00 per pound. She also needed a jar of pickles that cost $2.50 and she had a $1.00 off coupon for that item. How much change would Lauren get back if she paid with a $20 bill?
The original price of a saree is Rs. 600 after successive discounts of 20%, 15%, and 10% are applied. If a new saree with the same original price goes through successive discounts of 20%, 15%, 10%, and an additional discount of 'x%', what is the final sale price of the new saree in terms of 'x'?
Jennifer will be 30 years old in a certain number of years. At that time, her sister Jordana will be three times as old as Jennifer. Jennifer's sister is now 80 years old. In how many years will Jennifer be 30 years old?
An error of some percentage in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is 6.09%. What is the percentage of error made while measuring the side of the square?
From the sale of sleeping bags, a retailer made a gross profit of 15% of the wholesale cost. Each sleeping bag was sold for a certain amount. The wholesale cost per bag was $24.35 approximately. What was the selling price per bag?
a watch was sold at a loss of 10 % . if it was sold for rs . 500 more , there would have been a gain of 10 % . what is the cost price ?
A watch was sold at a loss of 15%. If it was sold for Rs. 350 more, there would have been a gain of 6%. What is the cost price?
Sonika deposited Rs. 8000 which amounted to Rs. 9200 after 3 years at simple interest. If the interest had been a certain percentage more, she would have gotten Rs. 9920. How much more interest would she have gotten?
A small college reduced its faculty by some percent to 195 professors. The original number of faculty members was approximately 224.14. What was the percentage reduction in faculty?
If you have x bags of cookies with y cookies in each bag, and x = 137 and y = 251, how many cookies would you have in total?
Ethan has a job that gives him 18 dollars per hour. He works for 8 hours a day and 5 days a week. Calculate the amount of money earned by Ethan in 5 weeks
Let the number of cards for Janet be J, Brenda be B, Mara be M, and Michelle be C. The following relationships are given: 1. J = B + 9.5 2. M = 1.75J 3. C = 0.8M 4. M = 210 - 60 Form a system of equations to find the total number of cards they have (J+B+M+C).
A jogger running at 9 km/hr alongside a railway track is 150 m ahead of the engine of a train running at 45 km/hr in the same direction. The train takes 25 seconds to pass the jogger. How long is the train in meters?
Christopher observes that there are some spiders in his room. There are a total of 32 spider legs. How many spiders are in his room?
the difference between compound interest and simple interest on a certain amount of money at 5 % per annum for 2 years is 20. If the interest rate for the second year increased by a factor of x, find the sum and the value of x:
The total age of A and B is 11 years more than the total age of B and C. C is a certain number of years younger than A. How many years younger is C than A?
Two trains are moving in opposite directions. The first train is 300 meters long and crosses a 500-meter bridge in 60 seconds. The second train is 400 meters long and crosses a 750-meter bridge in 80 seconds. What are the speeds of both trains?
Angela has half as many insects as Jacob does, and Jacob has 5 times as many insects as Dean. Meanwhile, Alex has 3 times as many insects as Dean but 10 fewer than Angela. The total number of insects distributed between the four persons is 900. If Dean has 30 insects, how many insects does Angela have?
Betty is growing parsnips in her vegetable garden. When the parsnips are grown, they are harvested and bundled into boxes that can hold up to 20 parsnips each. Each harvest, some portion of the boxes are full, and the remaining boxes are half-full. She gets an average of 20 boxes each harvest and grows 350 parsnips in an average harvest. What is the ratio of full boxes to the total number of boxes?
An industrial loom weaves at different speeds depending on the pattern being woven. If it is weaving a simple pattern, it can weave 0.128 metres of cloth every second. For a double weave pattern, the loom weaves at a slower pace, approximately 0.092 meters every second. If the loom weaves 12 meters of the simple pattern and 12 meters of the double weave pattern, how many seconds will it take the loom to weave these 24 meters of cloth?
Let G represent Granger's spots, C represent Cisco's spots, and R represent Rover's spots. Introduce two more family members, Sparky, represented by S, and Bella, represented by B. Granger has five times as many spots as Cisco, Sparky has three times as many spots as Rover, and Bella has twice as many spots as the sum of Granger's and Sparky's spots. Cisco has 5 less than half as many spots as Rover, who has 46 spots. Calculate the total number of spots for Granger, Cisco, Sparky, and Bella combined.
In a store, an Uno Giant Family Card costs $12. Ivan bought a certain number of pieces and was given a discount of $2 each. He paid $100 in all. How many pieces did Ivan buy?
Find the number of moles of Na2SO4 formed on combining some moles of H2SO4 and 2 moles of NaOH, if 1 mole of Na2SO4 is formed when 1 mole of H2SO4 is combined with 2 moles of NaOH. How many moles of H2SO4 are combined?
Three trains A, B, and C traveled different distances with varying speeds. Train A covered 2x km at a speed of 40 kmph, train B covered 3x km at a speed of 60 kmph, and train C covered x km at a speed of 80 kmph. Find the combined average speed of all three trains while covering the entire 6x km.
Robbie weighs 100 pounds. Patty was a certain times as heavy as Robbie, but she has since lost 235 pounds by working out. Patty now weighs 115 pounds more than Robbie. How many times heavier was Patty than Robbie before she lost weight?
A number is to be selected at random from the set {-10, -6, -5, -4, -2.5, -1, 0, 2.5, 4, 6, 7, 10}. The probability that the number selected will be a solution of the equation (x - some_number)(x + 10)(2x - 5) = 0 is 0.16666666666666666. What is the value of "some_number"?
On our last vacation, I bought 6 times as many tetras as Tim bought clowns. Tim bought twice as many clowns as Rick bought guppies. Rick bought 3 times as many guppies as Jane bought angelfish. Jane bought 10 more angelfish than Alex bought cichlids. Alex bought half the number of cichlids as Lisa bought rainbowfish. Lisa bought 40 rainbowfish, and for every 5 rainbowfish, she also bought 1 neon fish. Mike bought 4 times as many goldfish as the number of neon fish that Lisa bought. Finally, Sarah bought 15 times the number of goldfish that Mike bought. How many animals did we buy on our last vacation?
In the first 10 overs of a cricket game, the batting team scored 32 runs for the loss of 3 wickets, with a run rate of 3.2. Their two key batsmen, Player A and Player B, have respective scoring rates of 4.5 and 5.8 runs per over. What should be the minimum combined run rate of Player A and Player B in the remaining 40 overs to reach the target of 282 runs, considering no more wickets are lost? Additionally, calculate the required partnership score for the 4th wicket, ensuring that the remaining wickets don't fall during the chase. Keep in mind that Player A and Player B cannot both be batting at the same time, and their scoring rates have to average out to achieve the required run rate.
A number plus itself, plus twice itself, plus a certain multiple of itself, is equal to 104. The number is 13. What is the multiple?
The breath of a rectangle is three-fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 2025 sq. units. What is the area (in sq. units) of the rectangle if the length is 10 units?
Lydia has 80 plants. 40% of her plants are flowering plants. Lydia wants to place a fourth of her flowering plants on the porch. Each flowering plant produces a certain number of flowers. There are 40 flowers in total on the porch. How many flowers does each flowering plant produce?
Tim is a frequent traveler who sleeps according to the following schedule: - 6 hours per day for 5 days a week while in his home country. - 10 hours a day for the other 2 days during his weekend trips. However, due to his travels, he sometimes experiences time zone changes and daylight saving adjustments. In a particular week, he starts with sleep hours from Monday to Friday according to his home country's schedule. On his weekend trip, he sleeps 10 hours each but faces a time zone change of +3 hours on Saturday and a daylight saving adjustment of -1 hour on Sunday. Calculate Tim's total sleep in hours for that week, considering these extra factors.
70 is increased by a certain percentage, resulting in a final number of 105. What is the percentage increase?
The least number which should be added to some number so that the sum is exactly divisible by 5 , 6 , 4 and 3 is 11.000000000000014. What is that number?
The total number of Democrats and Republicans in the House of Representatives was some number. There were 30 more Republicans than Democrats. There were 202 Democrats in the Senate. What was the total number of Democrats and Republicans in the House of Representatives?
Jack went on a diet 6 months ago when he weighed 222 pounds. If he now weighs 198 pounds and continues to lose at the same average monthly rate, in approximately how many months will he weigh 180 pounds?
A man sells 18 pencils for a rupee and experiences a certain loss percentage. In order to gain 20%, he should sell 12 pencils for a rupee. What is the loss percentage when he sells 18 pencils for a rupee?
A sum of Rs. 2665 is lent into two parts so that the interest on the first part for 5 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum.
The diagonals of a rhombus are 14 cm and some length. Its area is 140 cm². What is the length of the other diagonal?
Javier has a wife, 3 children, and a grandmother living with them. They have 2 dogs, 1 cat, a parrot, and a pet lizard. In their living room, they have a 3-legged stool, a 4-legged table, and a 6-legged antique cabinet. Including Javier and all the living beings and furniture, how many legs are there in total in Javier's household?
You collect pens. You start out with 7 pens. Mike gives you another 22 pens. Since her father makes pens, Cindy decides to double your pens. Since you're nice, you give Sharon some pens. At the end, you have 39 pens. How many pens did you give to Sharon?
What is the least number that should be added to 1054, so the sum of the number is divisible by a certain divisor? The answer is 3.999999999999936. What is the divisor?
A baker sells pastries for $5 and works 7 days a week. On Monday he sold 2 pastries. Every day the number of sales changes compared to the previous day. On average, he sells 5 pastries each day of the week. By how much does the number of sales change each day?
4 friends are running a 4 x 100 relay race. Mary ran first and took twice as long as Susan. Susan ran second and she took 10 seconds longer than Jen. Jen ran third and finished in 30 seconds. Tiffany ran the last leg and finished in some seconds less than Mary. The team finished the race in 223 seconds. How much less time did Tiffany take than Mary?
The population of a city is 415600. It increased by 25% in the first year and decreased by 30% in the second year. What is the population of the city at the end of the second year?
Two trains of different lengths are running in opposite directions, one at the rate of 75 km and the other at the rate of 65 kmph. In 7.353697418492236 seconds, they will be completely clear of each other from the moment they meet. If the first train is 121 meters long, how long is the second train?
Mimi has decided to start going to the gym again. Over the weekend, she spent $8,000 on athletic sneakers and clothes. She spent thrice as much on Nike sneakers as she did on Adidas. What she spent on Adidas was 1/5 the cost of Skechers, and she spent $2,600 on clothes. How much did Mimi spend on Adidas sneakers?
Sue's trail mix is 30% nuts and 70% dried fruit. Jane's trail mix is 60% nuts and some percent chocolate chips. The combined mixture of Sue and Jane's trail mix contains 45% nuts and 35% dried fruit. What percent of Jane's trail mix is chocolate chips?
There are some dogwood trees currently in the park. Park workers will plant 3 more dogwood trees today and 2 more dogwood trees tomorrow. The park will have 12 dogwood trees when the workers are finished. How many dogwood trees are currently in the park?
The average runs scored by a batsman in 20 matches is a certain number. In the next 10 matches, the batsman scored an average of 15 runs. His average in all the 30 matches is 25. What was the average runs scored in the first 20 matches?
if a # b = ab – b + b ^ 2 , then 3 # 8 =
Jaron wants to raise enough money selling candy bars to win the Nintendo Switch prize. He needs 2000 points for the Nintendo Switch. He has already sold 8 chocolate bunnies that are worth 100 points each. Each Snickers bar he sells earns 25 points. How many Snickers bars does he need to sell to win the Nintendo Switch?
20 liters of chemical x are added to 80 liters of a mixture that has a certain percentage of chemical x and the rest is chemical y. The resulting mixture is 36% chemical x. What was the initial percentage of chemical x in the mixture?
A man saves a certain portion of his income during a year and spends the remaining portion on his personal expenses. Next year his income increases by 30% but his savings increase by some percentage. His total expenditure in 2 years is double his expenditure in the 1st year. He saved 30% of his income in the first year. By what percentage did his savings increase in the second year?
Mary is making a model sailboat. She wants to add three sails: a rectangular sail that measures 5 inches by 8 inches and two right triangular sails, one that's some inches long at the bottom and 4 inches tall and one that's 4 inches long at the bottom and 6 inches tall. She needs a total of 58 square inches of canvas. What is the base length of the first triangular sail?
a fruit seller had some apples . he sells 40 % apples and still has 420 apples . originally , he had :
A dealer purchased an article at a certain fraction of its list price and sold it for 50% more than the list price. The dealer's gain percent was 100%. What fraction of the list price did the dealer purchase the article for?
the length of the rectangular field is double its width . inside the field there is square shaped pond 8 m long . if the area of the pond is 1 / 2 of the area of the field . what is the length of the field ?