[Question]A competition has racers competing on bicycles and tricycles to win a grand prize of $4000. If there are 40 people in the race, and 3/5 of them are riding on bicycles, how many wheels do the bicycles and tricycles in the race have combined?
[Answer]If 3 / 5 of the people in the race are riding bicycles, their number is 3 / 5 * 40 people = 24 people. Since a bicycle has 2 wheels, and 24 people were riding on a bicycle each, the total number of bicycle wheels in the race is 2 wheels / bike * 24 bikes = 48 wheels. The number of racers on tricycles is 40 people - 24 people = 16 people. Since a tricycle has 3 wheels, and 16 people were riding on a tricycle each, the total number of tricycle wheels in the race is 3 wheels / trike * 16 trikes = 48 wheels. The combined total for bicycle and tricycle wheels in the race is 48 wheels + 48 wheels = 96 wheels. The answer is 96.
Q: During one hour, Tom can read 12 pages of a book. How many pages would he be able to read during 2 hours if he could increase his reading speed by a factor of 3?
A: If Tom could triple his reading speed, he could read 12 * 3 = 36 pages of a book in one hour. Therefore, during two hours he could read 36 * 2 = 72 pages. The answer is 72.
Question: Carly practices her butterfly stroke for 3 hours a day, 4 days a week, and her backstroke for 2 hours a day, six days a week. How much time does she spend practicing swimming in a month with 4 weeks?
Answer: First find the total time Carly practices the butterfly stroke in a week: 3 hours / day * 4 days / week = 12 hours / week. Then find the total time Carly practices the backstroke stroke in a week: 2 hours / day * 6 days / week = 12 hours / week. Then add those two amounts of time to find her total practice time each week: 12 hours / week + 12 hours / week = 24 hours / week. Then multiply her weekly practice time by the number of weeks in a month to find her monthly practice time: 24 hours / week * 4 weeks / month = 96 hours / month. The answer is 96.
[Question]Balki is counting the number of raisins in boxes of cereal. He counted 437 total raisins in 5 boxes. In one box he counted 72 raisins. In a second box he counted 74 raisins. The other three boxes had the same number each. How many were in each of the other three boxes?
[Answer]Let x = the number of raisins in each of the other 3 boxes. Then 72 + 74 + 3x = 437 raisins. Combining like terms we get 146 + 3x = 437 raisins. Subtracting 146 from both sides we get 3x = 291 raisins. Dividing both sides by 3, we get x = 291 / 3 = 97 raisins. The answer is 97.
Q: Tony's dad is very strict about the washing machine and family members are only allowed to wash 50 total ounces of clothing at a time. Tony doesn't want to break the rules, so he weighs his clothes and finds that a pair of socks weighs 2 ounces, underwear weighs 4 ounces, a shirt weighs 5 ounces, shorts weigh 8 ounces, and pants weigh 10 ounces. Tony is washing a pair of pants, 2 shirts, a pair of shorts, and 3 pairs of socks. How many more pairs of underwear can he add to the wash and not break the rule?
A: He is washing 10 ounces of shirts because 2 x 5 = 10. He is washing 6 ounces of socks because 3 x 2 = 6. He is already washing 34 ounces of clothes because 10 + 10 + 8 + 6 = 34. He can wash 16 more ounces because 50 - 34 = 16. He can wash 4 pairs of underwear because 16 / 4 = 4. The answer is 4.
Question: The United States flag has 50 stars, one for every state in the union, and 13 stripes, which represent the original 13 colonies. Pete, inspired by history, decided to make his own flag. He used circles, to represent how many scoops of ice cream he can consume in one sitting, and squares, to represent the number of brownies he has hidden beneath his bed. For circles, he used 3 less than half the number of stars on the US flag, and for squares, he used six more than twice the number of stripes on the US flag. What is the combined total number of circles and squares on Pete's flag?
Answer:
Half the number of stars on the US flag is 50 / 2 = 25. Three less than half the number of stars on the US flag is 25 - 3 = 22 circles. Twice the number of stripes on the US flag is 13 * 2 = 26. Six more than twice the number of stripes on the US flag is 26 + 6 = 32 squares. In total, Pete's flag has 22 + 32 = 54 circles and squares. The answer is 54.