[Question]Beau’s sons are triplets. They are 16 years old today. Three years ago, the sum of his 3 sons’ ages equaled Beau’s age. How old is Beau today?
[Answer]Three years ago, his sons were 16 - 3 = 13 years old. Three years ago, Beau was 13 + 13 + 13 = 39 years old. Today, Beau is 39 + 3 = 42 years old. The answer is 42.
Q: The number of math problems that Marvin practiced today is three times as many as the number of problems he solved yesterday. His friend, Arvin, has practiced twice as many math problems on each day. How many math problems have they practiced altogether if Marvin solved 40 math problems yesterday?
A: If Marvin solved 40 math problems yesterday, he has solved 40 * 3 = 120 math problems today. The total number of math problems that Marvin has practiced is 120 + 40 = 160. Arvin has practiced twice as many as Marvin, so has practiced 160 * 2 = 320 problems. Together, Marvin and Arvin have solved 320 + 160 = 480 math problems. The answer is 480.
Question: Matt and Tom both walk up the stairs of the library. Matt goes up the stairs 20 steps per minute. Tom goes up the stairs 5 steps per minute more than Matt. If Matt has reached 220 steps above the entrance, how many steps will Tom have gone up by that time?
Answer: Matt would have walked for 220 / 20 = 11 minutes. Tom would have gone up by 11 * 5 = 55 steps more. Tom would have gone up by 220 + 55 = 275 steps. The answer is 275.
[Question]A group of people contains men, women, and children. The number of men is twice the number of women, and the number of women is 3 times the number of children. If the number of children is 30, how many people does this group contain?
[Answer]The number of women in the group is 3 women / child * 30 children = 90 women. The number of men in the group is 2 men / woman * 90 women = 180 men. The total number of people in the group is 180 men + 90 women + 30 children = 300 people. The answer is 300.
Q: Robbie weighs 100 pounds. Patty was 4.5 times as heavy as Robbie, but she has since lost 235 pounds by working out. How many more pounds does Patty weigh than Robbie now?
A: Patty used to weigh 100 * 4.5 = 450 pounds. Patty weighs 450 - 235 = 215 pounds after working out. Patty weighs 215 - 100 = 115 more pounds than Robbie. The answer is 115.
Question: When the machine is cold, as it is in the first hour of production, it takes 6 minutes to produce each molded flower pot. Thereafter, once it is warm, it takes only 5 minutes to produce each pot. How many additional pots are produced in the last hour of the day, compared to the first?
Answer:
In the first hour, it produces 60 / 6 = 10 pots. In the last hour, it produces 60 / 5 = 12 pots. 12 - 10 = 2 more pots are produced in the last hour. The answer is 2.