Question: On the planet Popton, there are two races of beings: the Hoopits and Neglarts. Each Hoopit has 3 toes on each of their 4 hands, while each Neglart only has 2 toes on each of their 5 hands. If a Popton automated driverless school bus always carries 7 Hoopit students and 8 Neglart students, how many toes are on the Popton school bus?
Answer: Each Hoopit has 4 hands, each with 3 toes, for a total of 4 * 3 = 12 toes. Each Neglart has 5 hands, each with 2 toes, for a total of 5 * 2 = 10 toes. Each school bus has 7 Hoopit students, for a total of 7 * 12 = 84 Hoopit toes. Each school bus also carries 8 Neglart students, for a total of 8 * 10 = 80 Neglart toes. Thus, the total number of toes on a bus carrying 7 Hoopit students and 8 Neglart students would be 84 + 80 = 164 toes. The answer is 164.
[Question]Candace is trying to decide whether to wear her old shoes or new high-tech shoes for a hike. The high-tech shoes will help Candace walk twice as fast, but they're not broken in yet, so she'll get 1 blister after every 2 hours she spends walking in them. Each blister slows Candance down by 2 miles per hour. If Candance walks 6 miles per hour in the old shoes and plans to hike for 4 hours, how many miles per hour can she go in the new shoes?
[Answer]Wearing the high - tech shoes, Candace can hike 6 mph * 2 = 12 mph for the first two hours. Then she gets one blister, so her speed drops to 12 mph - 2 mph = 10 mph for the next two hours of the hike. After that time Candace gets another blister, but 2 hours + 2 hours = 4 hours, so the hike is over and we don't care about her speed anymore. Candace spends an equal amount of time walking at 12 mph and 10 mph, so we can average the two speeds to find an overall speed of (12 mph + 10 mph) / 2 = 11 mph. The answer is 11.
Q: Jennie drives to her son’s house in 5 hours when there is heavy traffic. When there is no traffic the same trip takes only 4 hours. If her son's house is 200 miles away, what is the difference between her average speed when there is heavy traffic and when there is no traffic?
A: Jennie can cover the 200 - mile distance in 5 hours when there is heavy traffic, so her average speed is 200 / 5 = 40mph. She can cover the same distance in 4 hours when there is no traffic for an average speed of 200 / 4 = 50mph. The difference in average speed between the two scenarios is (50 - 40)mph = 10mph. The answer is 10.
Question: If Sally had $20 less, she would have $80. If Jolly has $20 more, she would have $70. How much money do Sally and Jolly have altogether?
Answer: Sally has $80 + $20 = $100. While Jolly has $70 - $20 = $50. Thus, Sally and Jolly have $100 + $50 = $150 altogether. The answer is 150.
[Question]Lola baked 13 mini cupcakes, 10 pop tarts, and 8 blueberry pies. Meanwhile, Lulu made 16 mini cupcakes, 12 pop tarts, and 14 blueberry pies. How many pastries have Lola and Lulu made altogether?
[Answer]They made 13 + 16 = 29 mini cupcakes altogether. They made 10 + 12 = 22 pop tarts altogether. They also made 8 + 14 = 22 blueberry pies altogether. Therefore they made a total of 29 + 22 + 22 = 73 pastries altogether. The answer is 73.
[Question]Sarah's age is equal to three times Mark's age minus 4. Mark is four years older than Billy. Billy is half Ana's age. If Ana will be 15 in 3 years, how old is Sarah?
[Answer]
First figure out how old Ana is right now by subtracting 3 from 15: 15 - 3 = 12. Next, figure out how old Billy is by dividing Ana's age by 2: 12 / 2 = 6. Now figure out how old Mark is by adding 4 to Billy's age: 6 + 4 = 10. Now, to figure out Sarah's age, first multiply Mark's age by 3: 10 * 3 = 30. Finally, subtract 4 from triple Mark's age to find Sarah's age: 30 - 4 = 26. The answer is 26.