Q: Jane runs a small farm. She has 10 chickens that lay 6 eggs each per week. She can sell the eggs for $2/dozen. How much money will she make in 2 weeks if she sells all her eggs?
A: Jane's chickens lay 10 chickens * 6 eggs = 60 eggs per week. Jane's chickens lay 60 eggs / 12 = 5 dozen eggs per week. Each week that Jane sells her eggs she can make 5 dozen * $2 = $10 per week. In two weeks Jane would make 2 * $10 / week = $20. The answer is 20.
Question: Georgie is a varsity player on a football team. He can run 40 yards within 5 seconds. If he can improve his speed by forty percent, how many yards will he be able to run within 10 seconds?
Answer: The additional yard he will be able to run to after improving his speed is 40 x 40 / 100 = 16 yards. So the total yard he will be able to run to after improving his speed is 40 + 16 = 56 yards in 5 seconds. Therefore the total yards he will be able to run to within 10 seconds is 56 x 2 = 112. The answer is 112.
[Question]Billy and Margaret are competing with each other to see who can swim 10 laps the fastest. Billy swims his first 5 laps in 2 minutes, swims the next 3 laps in 4 minutes, swims the next lap in 1 minute, then swims his final lap. Margaret finishes swimming all of her laps in 10 minutes. Billy wins the competition by finishing his laps 30 seconds before Margaret does. In seconds, how long did it take Billy to swim his final lap?
[Answer]Margaret finished all of her laps in 10 minutes * 60 seconds = 600 seconds. Billy's first 5 laps took 2 minutes * 60 seconds = 120 seconds. His next 3 laps took 4 minutes * 60 seconds = 240 seconds. His ninth lap took 1 minute * 60 seconds = 60 seconds. So his first 9 laps took 120 + 240 + 60 = 420 seconds. Billy finished swimming his laps before Margaret so all of his laps took a total of 600 30 = 570 seconds. This means that it took 570 seconds in total swimming time 420 seconds in time spent swimming the first 9 laps = 150 seconds for Billy to swim his final lap. The answer is 150.
Q: A papaya tree will grow 2 feet in the first year. In the second year, it will grow 50% more than the first year. In the third year, the tree will grow 50% more than in the second year. In the fourth year, it will grow twice as much as the third year. In the fifth year, it will grow half as much as the fourth year. When the tree is 5 years old, how tall is the tree?
A: In the second year, the tree will grow 2 x 1.5 = 3 feet. In the third year, it will grow 3 x 1.5 = 4.5 feet. In the fourth year, it will grow 4.5 x 2 = 9 feet. In the fifth year, it will grow 9 / 2 = 4.5 feet. When the tree is 5 years old, including the first year's growth, it will be this tall 2 + 3 + 4.5 + 9 + 4.5 = 23 feet. The answer is 23.
Question: About 450 000 people lived in Maryville in 2000. In 2005, about 467 000 people lived in Maryville. What is the average number of people added each year?
Answer: The total increase of people was counted in 2005 - 2000 = 5 years. In 5 years, there is a total of 467 000 - 450 000 = 17 000 people increase. So, each year, the average number of people added is 17 000 / 5 = 3 400. The answer is 3400.
Q: Last year Jessica paid $1000 for rent, $200 for food, and $100 for car insurance each month. This year her rent goes up by 30%, food costs increase by 50%, and the cost of her car insurance triples because she was at fault in an accident. How much more does Jessica pay for her expenses over the whole year compared to last year?
A:
First find the increase in rent by multiplying last year's rent by 30%: $1000 * .3 = $300. Then find the food cost increase by multiplying last year's costs by 50%: $200 * .5 = $100. Then find the new car insurance price by multiplying last year's price by 3: $100 * 3 = $300. Then subtract the cost of car insurance last year from this year's price to find the increase: $300 - $100 = $200. Now find how much Jessica's monthly expenses increased by adding the increases in each of the three costs: $300 + $100 + $200 = $600. Now multiply the increase per month by the number of months in a year to find the annual increase: $600 / month * 12 months / year = $7200 / year. The answer is 7200.