Miss Davis gave 15 popsicle sticks to each of the 10 groups in her class. How many sticks does she have left if she had 170 popsicle sticks? Give the rationale and then the answer.
Let's think step by step. Miss Davis gave a total of 15 x 10 = 150 popsicle sticks to the 10 groups in her class. So, she is left with 170 - 150 = 20 sticks.. The answer is: 20.

Simon is picking blueberries to make blueberry pies. He picks 100 blueberries from his own bushes and another 200 blueberries from blueberry bushes growing nearby. If each pie needs 100 blueberries, how many blueberry pies can Simon make? Give the rationale and then the answer.
Let's think step by step. Simon has picked a total of 100 + 200 = 300 blueberries. This means he can make 300 blueberries / 100 blueberries per pie = 3 pies.. The answer is: 3.

Bill composes 20 total math questions for money. Ryan composes twice as many problems as Bill, and Frank composes 3 times as many as Ryan. Assuming each person has to compose 4 different types of math problems in equal proportion out of the total amount, how many problems of each type does Frank compose? Give the rationale and then the answer.
Let's think step by step. Since Ryan composes twice as many problems as Bill's total of 20, this means Ryan composes 20 * 2 = 40 problems. Frank composes 3 times as many as Ryan does, so this means Frank composes 40 * 3 = 120 problems. Since Frank needs to submit 4 types of problems in equal proportion out of his total, this means he needs to make 120 / 4 = 30 problems of each type.. The answer is: 30.