Question: A paper company decides to operate their business more sustainably. They decide that for every tree they chop down, they want to plant three more. If the company chops down 200 trees in the first half of the year and 300 more trees in the second half of the year, how many more trees does the company need to plant?
Answer: The company has chopped down a total of 200 + 300 = 500 trees throughout the year. They plant 3 trees for every tree they chop so they need to plant 500 trees * 3 = 1500 trees. The answer is 1500.
[Question]Carla bought 2 bags of mini peanut butter cups on clearance. Each bag was $6.00 but was 75% off. How much did she spend on 2 bags of candy?
[Answer]Each bag was $6.00 but was marked down 75% for clearance so that's 6 * .75 = $4.50 discount. Each bag was $6.00 and there is a $4.50 discount so each bag is 6 - 4.50 = $1.50. Each bag was marked down to $1.50 a bag and she bought 2 bags for a total of 1.5 * 2 = $3.00. The answer is 3.
Q: Brady will make $450 more in a year than Dwayne. If Dwayne makes $1,500 in a year, how much will Brady and Dwayne make combined in a year?
A: Brady will make $450 + $1500 = $1950. Combined, Brady and Dwayne will make $1950 + $1500 = $3450 in a year. The answer is 3450.
Question: You can buy 4 apples or 1 watermelon for the same price. You bought 36 fruits evenly split between oranges, apples and watermelons, and the price of 1 orange is $0.50. How much does 1 apple cost if your total bill was $66?
Answer: If 36 fruits were evenly split between 3 types of fruits, then I bought 36 / 3 = 12 units of each fruit. If 1 orange costs $0.50 then 12 oranges will cost $0.50 * 12 = $6. If my total bill was $66 and I spent $6 on oranges then I spent $66 - $6 = $60 on the other 2 fruit types. Assuming the price of watermelon is W, and knowing that you can buy 4 apples for the same price and that the price of one apple is A, then 1W = 4A. If we know we bought 12 watermelons and 12 apples for $60, then we know that $60 = 12W + 12A. Knowing that 1W = 4A, then we can convert the above to $60 = 12(4A) + 12A. $60 = 48A + 12A. $60 = 60A. Then we know the price of one apple (A) is $60 / 60 = $1. The answer is 1.
[Question]Emani has $30 more money than Howard. If Emani has $150, and they decide to combine and share the money equally, how much money does each get?
[Answer]If Emani has $150, Howard has $150 - $30 = $120. In total, they have $120 + $150 = $270. When they share this money equally, each gets $270 / 2 people = $135 / person. The answer is 135.
[Question]Randy just turned 12 and started playing the piano. His friend Sheila told him about the 10,000-hour rule which says, after 10,000 hours of practice, you become an expert or master in your field. If Randy wants to become a piano expert before he is 20, how many hours a day will he need to practice if he practices every day, Monday – Friday, and takes two weeks off for vacation each year?
[Answer]
Randy has 20 – 12 = 8 years until he is 20. He must practice 10,000 hours / 8 years = 1,250 hours a year to become an expert. There are 52 weeks in a year – 2 weeks of vacation Randy plans to take = 50 weeks of practice for Randy. Randy will practice Monday – Friday, which is 5 days a week, so 50 weeks x 5 days = 250 days of practice each year. Randy will need to practice 1250 hours / 250 days = 5 hours each day. The answer is 5.