Q: Janice bought five juices for $10 in total and two sandwiches for $6 in total. How much would she need to pay, if she would only buy one sandwich and one juice?
A: Janice bought five juices for $10, so one juice costs 10 / 5 = $2. She also bought two sandwiches for $6, so one sandwich costs 6 / 2 = $3. So for one juice and one sandwich, Janice would need to pay 2 + 3 = $5. The answer is 5.
Question: Tracy, John and Jake found their combined weight to be 158 kilograms. If Tracy weighs 52 kg and Jake weighs 8kg more than Tracy, what is the range of their weights?
Answer: Jake weighs 8kg more than 52 kg which is 8 + 52 = 60 kg. Tracy and Jake together weigh 60 + 52 = 112kg. John therefore weighs 158 - 112 = 46 kg. The range of their weights is 60 - 46 = 14kg. The answer is 14.
[Question]40 less than 10 times Diaz's age is 20 more than 10 times Sierra's age. If Sierra is currently 30 years old, how old will Diaz be 20 years from now?
[Answer]If Sierra is currently 30 years old, 10 times her age is 30 * 10 = 300. Twenty more than 10 times Sierra's age is 300 + 20 = 320. 320 is 40 less than ten times Diaz's age so 10 times Diaz's age is 320 + 40 = 360. If ten times Diaz's age is 360, Diaz is 360 / 10 = 36 years old. Twenty years from now, Diaz will be 20 + 36 = 56 years old. The answer is 56.
Q: A group of nine turtles sat on a log. Two less than three times the original number of turtles climbed onto the log with the original group, creating an even larger group on the log. Suddenly, half of the large group of turtles were frightened by a sound and jumped off of the log and ran away. How many turtles remained on the log?
A: Two less than three times the original number of turtles is (9 * 3) - 2 = 25. Thus, The original 9 were joined by 25 more, for a total of 25 + 9 = 34 turtles. But half of the 34 turtles scurried away, leaving half remaining, or 34 / 2 = 17 brave turtles. The answer is 17.
Question: While camping, Cyrus counted 14 mosquito bites on his arms and legs. He later counted another 10 on his body. While he was suffering, his entire family of 6 other people only got a total of half the number of bites that Cyrus got. If they all have an equal number of bites, how many mosquito bites does each member of the rest of Cyrus' family have?
Answer: Altogether, Cyrus got 14 + 10 = 24 mosquito bites. The rest of his family had a total of 24 / 2 = 12 mosquito bites. Each family member had 12 / 6 = 2 mosquito bites. The answer is 2.
Q: A high school bowling team's 3 members scored a total of 810 points in their first match. The first bowler scored 1/3 as many points as the second, and the second bowler scored 3 times as high as the third bowler. How many points did the third bowler score?
A:
Let x represent the score of the third bowler. Bowler 2:3x. Bowler 1:3x(1 / 3) = x. Total:x + 3x + x = 810. 5x = 810. x = 162 points. The answer is 162.