[Question]Three adults whose average weight is 140 pounds went first in the elevator. Two children whose average weight is 64 pounds also went inside. If an elevator sign reads “Maximum weight 600 pounds.", what is the maximum weight of the next person to get in the elevator so that it will not be overloaded?
[Answer]The sum of the weights of the three adults is 140 x 3 = 420 pounds. The sum of the weight of the two children is 64 x 2 = 128 pounds. So the total weight of the 5 people who are in the elevator is 420 + 128 = 548 pounds. This would mean that the next person's weight must not exceed 600 - 548 = 52 pounds. The answer is 52.
Q: Ryanne is 7 years older than Hezekiah. Together Ryanne's and Hezekiah's ages equal 15 years. How many years old is Hezekiah?
A: Let H = Hezekiah's age. Ryanne = H + 7. 2H + 7 = 15. 2H = 8. H = 4. Hezekiah is 4 years old. The answer is 4.
Question: During one day, there are 4 boat trips through the lake. The boat can take up to 12 people during one trip. How many people can the boat transport in 2 days?
Answer: During each boat trip, there can be 12 people onboard, so during 4 boat trips, there can be 4 * 12 = 48 people in total. During two days the boat can transport a total of 48 * 2 = 96 people. The answer is 96.
[Question]Mariel is a dog walker. While walking her pack of dogs, she gets tangled up in the leashes of another dog walker and their 3 dogs. There are 36 legs tangled up in leashes. How many dogs is Mariel walking?
[Answer]There are 2 dog walkers and they each have 2 legs so that's 2 * 2 = 4 legs. The other dog walker is walking 3 dogs that each have 4 legs so that's 3 * 4 = 12 legs. The dog walkers have 4 legs and the other dogs have 12 legs for a total of 4 + 12 = 16 legs. There are 36 legs total and 16 belong to the dog walkers and 3 dogs so that leaves 36 - 16 = 20 legs. Dogs have 4 legs and there are 20 legs so Mariel is walking 20 / 4 = 5 dogs. The answer is 5.
Q: Aisha enjoys listening to music on her mp3 player. She starts with 500 songs on her mp3 player, then adds another 500 the week after that. She realizes her mp3 player has a large capacity for storing songs so she adds twice the amount she already had on her mp3 player. After a while, though, she decides that she doesn't like 50 of the songs and removes them. How many songs are on Aisha's mp3 player now?
A: Aisha starts with 500 songs + 500 songs = 1000 songs added to her mp3 player in the first two weeks. After that Aisha adds twice that amount to her mp3 player, 1000 x 2 = 2000 songs added. She now has 1000 + 2000 = 3000 songs on her mp3 player. However, she decides she wants to remove 50 of them, 3000 - 50 = 2950 songs on her mp3 player. The answer is 2950.
Question: Emily is 20 years old and her older sister, Rachel, is 24 years old. How old is Rachel when Emily is half her age?
Answer:
The difference in age between the two sisters is 24 - 20 = 4 years. When Rachel is twice Emily’s age, she is 4 x 2 = 8 years old. The answer is 8.