Question: 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?
Answer: 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]Ali has $480. He spent half of it on food, and then he spent a third of what was left on a pair of glasses. How much money did he have left?
[Answer]Ali spent 480 / 2 = $240 on food. After buying the food, Ali had 480 - 240 = $240 left. He spent 240 / 3 = 80 dollars on a pair of glasses. He had 240 - 80 = $160 left. The answer is 160.
Q: During a soccer game, in the first half, Team A scored 8 points, and Team B scored only half as many points. In the second half, Team B was able to get as many points as Team A in the first half, and Team A scored only 2 goals less than Team B. How many goals did both teams score during the whole match?
A: During the first half Team, B scored only 8 * 0.5 = 4 points. In the second half Team A scored 2 goals less than Team B, so they scored 8 - 2 = 6 points. So in total both teams scored 8 + 4 + 6 + 8 = 26 points. The answer is 26.
Question: The school is organizing a trip to the museum. 4 buses were hired to take the children and teachers to their destination. The second bus has twice the number of people on it as the first bus. The third bus has 6 fewer people than the second bus. The fourth bus has 9 more people than the first bus. If the first bus has 12 people, how many people are going to the museum in total?
Answer: The second bus is carrying 12 * 2 = 24 people. The third bus has 24 – 6 = 18 people. The fourth bus has 12 + 9 = 21 people on it. In total, there are 12 + 24 + 18 + 21 = 75 people on the buses. The answer is 75.
[Question]Mark is filling a punch bowl that can hold 16 gallons of punch. He fills it part way, then his cousin comes along and drinks half the punch in the bowl. Mark starts to refill the bowl and adds 4 more gallons, but then his friend Sally comes in and drinks 2 more gallons of punch. After that, Mark has to add 12 gallons of punch to completely fill the bowl. How much punch did Mark initially add to the bowl?
[Answer]First, figure out how much punch was left in the bowl before Mark refilled it by subtracting the 12 gallons he added from the bowl's total capacity: 16 - 12 = 4 gallons. Next, figure out how much punch was in the bowl before Sally came along: 4 + 2 = 6 gallons. Next, figure out how much punch was in the bowl before Mark started to refill it: 6 - 4 = 2 gallons. Finally, multiply that amount by 2 to find out how much punch there was before the cousin drank half: 2 * 2 = 4 gallons. The answer is 4.
[Question]Hannah comes home from work to find her older son taped her younger son to a chair with 22 strands of duct tape. If Hannah can cut 8 strands per minute and her son can cut 3 strands per minute, how long will it take them to free her younger son?
[Answer]
First find the total number of strands the two of them can cut per minute: 8 strands + 3 strands = 11 strands. Then divide the total number of strands by the number of strands they cut per minute to find the number of minutes it takes to cut all the strands: 22 strands / 11 strands / minute = 2 minutes. The answer is 2.