[Question]A pastry chef is making brownies but is running out of butter. The recipe he is following calls for 2 ounces of butter for every 1 cup of baking mix; however, it allows 2 ounces of coconut oil to be substituted for the 2 ounces of butter if necessary. The chef would like to use as much butter as possible before switching over and substituting coconut oil. If the chef had 4 ounces of butter remaining, and he plans on using 6 cups of baking mix, how many ounces of coconut oil will he end up using?
[Answer]Every 2 ounces of butter is enough to cover 1 cup of baking mix, so the chef's remaining 4 ounces of butter will be enough to cover 4 / 2 = 2 cups of baking mix. This leaves 6 - 2 = 4 cups of baking mix that will require the use of coconut oil as a substitute. Since each cup of baking mix requires 2 ounces of coconut oil, these 4 cups will require a total of 4 * 2 = 8 ounces of coconut oil. The answer is 8.
Q: Two friends are racing three miles. The first one runs it in 21 minutes. The second one runs it in 24 minutes. If they keep up the same pace, how long combined will it take for them to run 5 miles each?
A: The first one runs a mile in 7 minutes because 21 / 3 = 7. The second runs a mile in 8 minutes because 24 / 3 = 8. The first one would finish 5 miles in 35 minutes because 5 x 7 = 35. The second one would finish in 40 minutes because 5 x 8 = 40. It will take 75 minutes in total because 35 + 40 = 75. The answer is 75.
Question: Camille saw 3 cardinals and four times as many robins as cardinals while bird watching. She also saw twice as many blue jays as cardinals and 1 more than three times as many sparrows as cardinals. How many birds did Camille see?
Answer: Camille saw 3 x 4 = 12 robins. She also saw 3 x 2 = 6 blue jays. Triple the number of cardinals is 3 x 3 = 9. So, she saw 9 + 1 = 10 sparrows. Therefore, Camille saw 3 + 12 + 6 + 10 = 31 birds. The answer is 31.
[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.
Q: At a UFO convention, there are 120 conference attendees. If there are 4 more male attendees than female attendees, how many male attendees are there?
A: Let's assume the number of female attendees is x. The number of male attendees is x + 4. The sum of male attendees and female attendees is x + x + 4 = 120. 2x + 4 = 120. 2x = 116. The number of female attendees is x = 116 / 2 = 58. The number of male attendees is 58 + 4 = 62. The answer is 62.
Question: Aunt Angela has 70 jellybeans in a jar. She wants to divide them equally and give them to her 3 nephews and 2 nieces. How many jellybeans did each nephew or niece receive?
Answer:
Aunt Angela has a total of 3 + 2 = 5 nephews and nieces. She gave each nephew or niece 70 / 5 = 14 jellybeans. The answer is 14.