Question: Mary and her two friends came up with the idea of collecting marbles each day for their play on weekends. From Monday to Friday, Mary collected twice as many red marbles as Jenny and half the number of blue marbles collected by Anie, who collected 20 more red marbles than Mary and twice the number of blue marbles Jenny collected. If Jenny collected 30 red marbles and 25 blue marbles, what's the total number of blue marbles collected by the friends together?
Answer: If Mary collected twice the number of red marbles collected by Jenny, she got 2 * 30 = 60 red marbles. Anie collected 20 more red marbles than Mary, which is 60 + 20 = 80 red marbles. The total number of red marbles is 60 + 80 + 30 = 170 red marbles. If Anie collected twice the number of blue marbles collected by Jenny, then she got 2 * 25 = 50 blue marbles. Mary collected half the number of blue marbles collected by Anie, thus 1 / 2 * 50 = 25 marbles. The total number of blue marbles collected is 50 + 25 + 25 = 100 blue marbles. The answer is 100.
[Question]Jill and Bob want to finally buy a house for themselves, so they went with a real estate agent to see some houses before making a decision. The first house was not too far from their work and the price was accessible. The second house was really big and Jill loved it but was twice as expensive as the first one and was way over their budget. They ended up buying the first one, knowing that the price of both houses altogether is $600,000. How much did Jill and Bob end up paying for their new house?
[Answer]Let C be the cost of the first house. The cost of the second house is 2C. The cost of the two houses together is C + 2C = $600,000. 3C = $600,000. C = $600,000 / 3 = $200,000. The answer is 200000.
Q: Rubert has 4 times the number of candies James has. James has 3 times the number of candies Adam has. If Adam has 6 candies, how many candies do the three of them have in total?
A: James has 3 * 6 candies = 18 candies. Rubert has 4 * 18 candies = 72 candies. So, the three of them have 6 candies + 18 candies + 72 candies = 96 candies. The answer is 96.
Question: Randy had $3,000. Smith gave him another $200. Randy then gave Sally $1,200 and kept the rest. What was the value, in dollars, of the rest?
Answer: After Smith gave him $200, Randy had 3000 + 200 = 3200 dollars. The value of the rest of the money is 3200 - 1200 = 2000 dollars. The answer is 2000.
[Question]Steve is building a bench for the playground and needs 6 lengths of wood that measure 4 feet and 2 lengths of wood that measure 2 feet. How many feet of wood does Steve need to buy?
[Answer]Steve needs 6 lengths of 4 feet of wood or 6 x 4 = 24 feet of wood. He also needs 2 lengths of 2 feet of wood or 2 x 2 = 4 feet of wood. Altogether, Steve needs 24 feet of wood + 4 feet of wood = 28 feet of wood. The answer is 28.
[Question]Carson is refilling his tires. Each tire can hold 500 cubic inches of air. Two of the tires are completely flat and empty. One tire is 40% full and the last tire is 70% full. If Carson injects 50 cubic inches of air with each pump, how many pumps will it take him to fill all the tires?
[Answer]
First, if the a full tire needs 500 cubic inches of air, then two empty tires need: 500 cubic inches / tire * 2 tires = 1000 cubic inches. Accordingly, the 40% - full tire needs 500 cubic inches * (100% - 40%). So, we find the 40% - full tire needs 500 cubic inches * (60%) = 300 cubic inches. And, the 70% - full tire needs 500 cubic inches * (100% - 70%). So, the 70% - full tire needs 500 cubic inches * (30%) = 150 cubic inches. Now add up the needs of all the tires to find the total number of cubic inches needed: 1000 cubic inches + 300 cubic inches + 150 cubic inches = 1450 cubic inches. Finally, if the pumps each hold 50 cubic inches, the total number of pumps needed is 1550 cubic inches / 50 cubic inches / pump = 29 pumps. The answer is 29.