A tomato plant has 100 tomatoes. Jane picks 1/4 of that number for use in their house. After a week, she goes back and picks 20 more tomatoes, and the following week picks twice that number. What's the total number of fruits remaining on the tomato plant? Give the rationale and then the answer.
Let's think step by step. When she picks 1 / 4 of the number of tomatoes, she goes home with 1 / 4 * 100 = 25 tomatoes. The total number of tomatoes remaining will be 100 - 25 = 75 tomatoes. After picking 20 more tomatoes the following week, the number of tomatoes remaining is 75 - 20 = 55 tomatoes. The next week she picks twice the number she picked the previous week, that is 20 * 2 = 40 tomatoes. The total number of tomatoes remaining after the final picking is 55 - 40 = 15 tomatoes.. The answer is: 15.

Clara brings a package of 100 stickers to school. She gives 10 stickers to a boy she likes. She gives half of the stickers which she has left to her best friends. How many stickers does Clara have left? Give the rationale and then the answer.
Let's think step by step. She gives the boy she likes 10 stickers. After giving the boy his stickers, she has 100 10 = 90 stickers left. She gives her best friends 90 / 2 = 45 stickers. This leaves Clara with 90 45 stickers = 45 stickers.. The answer is: 45.

Lisa is looking to attempt a World Record. She has decided to try and match Joey Chestnut's record of eating 75 full hotdogs, buns included, in 10 minutes. Halfway through the time Lisa has eaten 20 hotdogs. How many hotdogs will she have to eat per minute to at least tie Joey Chestnut's record? Give the rationale and then the answer.
Let's think step by step. Joey Chestnut ate 75 hotdogs to claim the record and Lisa has eaten 20 hot dogs so far, so she still needs to eat 75 - 20 = 55 hotdogs to tie Joey Chestnut. Lisa has a 10 minute time period to eat the hotdogs and half the time has already passed, which means Lisa has 10 / 2 = 5 minutes left until the competition is over. If she needs to eat 55 hotdogs to tie Joey Chestnut and there are 5 minutes left in the competition period then she needs to eat 55 / 5 = 11 hot dogs per minute to have a chance of tying for a win.. The answer is: 11.