[Question]Lydia has a small pool she uses to bathe her dogs. When full, the pool holds 60 gallons of water. She fills her pool using the garden hose, which provides water at the rate of 1.6 gallons per minute. Unfortunately, her pool has a small hole that leaks water at a rate of 0.1 gallons per minute. How long will it take for her to fill the pool, in minutes?
[Answer]With a garden hose that fills at a rate of 1.6 gallons per minute, and a hole that leaks at 0.1 gallons per minute, the net fill rate becomes 1.6 - 0.1 = 1.5 gallons per minute. Therefore, to fill a 60 - gallon pool, it will take 60 / 1.5 = 40 minutes. The answer is 40.
Q: Caprice is taking piano lessons. Her mother pays the teacher $10 for every half-hour of teaching her daughter. If Caprice is taking one lesson per week, and the lesson lasts 1 hour, how much money would the teacher earn in 5 weeks?
A: If half - hour lesson is worth $10, then a one - hour lesson costs 2 * 10 = $20. One lesson per week would mean that in 5 weeks the teacher would earn 20 * 5 = $100. The answer is 100.
Question: Cooper makes 7 apple pies a day. He does this for 12 days. Ashley then eats 50 of his pies. How many apple pies remain with Cooper?
Answer: The number of pies Cooper makes in 12 days is 7 pies / day * 12 days = 84 apple pies. After Ashley eats 50 of them, there are 84 pies – 50 pies = 34 apple pies. The answer is 34.
[Question]James gets a fleet of gas transportation vans. He gets 6 vans. 2 of them are 8000 gallons. 1 of them is 30% less than that. The remaining trucks are 50% larger than the 2 trucks. How many gallons can he transport?
[Answer]His smaller truck is 8000 * .3 = 2400 gallons smaller. So it can transport 8000 - 2400 = 5600 gallons. There are 6 - 2 - 1 = 3 of the very large trucks. Those trucks are each 8000 * .5 = 4000 gallons larger. So they can transport 8000 + 4000 = 12000 gallons. So in total they transport 3 * 12000 = 36000. The 8000 - gallon trucks can transport 8000 * 2 = 16000 gallons. So in total he can transport 5600 + 16000 + 36000 = 57600 gallons. The answer is 57600.
Q: To keep himself busy in class, Michael makes rubber-band balls. He makes two sizes, large and small. A small ball uses 50 rubber bands. A large ball requires 300 rubber bands. Michael brought a 5,000 pack to class and already made 22 small balls. How many large balls can he make with the remaining rubber bands?
A: Michael has used 1,100 rubber bands because 22 x 50 = 1,100. Michael has 3,900 rubber bands remaining because 5,000 - 1,100 = 3,900. Michael can make 13 large balls because 3,900 / 300 = 13. The answer is 13.
Question: Emma buys 2 containers of milk every school day for lunch. She does not go to school on the weekends. How many containers of milk does she buy in 3 weeks?
Answer:
There are 5 school days in a week: 5 days / week x 2 containers of milk / day = 10 containers of milk every week. Finally the number of container for 3 weeks is 3 weeks x 10 containers / week = 30 containers. The answer is 30.