Question

Greg started with a certain number of quarters. He then decided on a number of quarters he would save each day. He added the quarters he saved to the amount with which he started. At the end of day 2, Greg had a total of 26 quarters saved. At the end of day 5, he had a total of 35 quarters saved. A. How many quarters does Greg start with? Show or explain your work. B. Write an equation to model the number of quarters Greg has saved, y, after x days. C. Using the rate at which Greg is saving, explain why he can never have exactly 100 quarters saved by the end of any given day.

Answer 1

He started with 17 quarter's. He had a certain number of quarters he added to his collection each day, on day two he had 26, and two days later he had 35, meaning he increased the amount of quarters my 9 over two day's, so I subtracted 9 from 26 because if you do you can remove the quarters he added in from the ones he started with, so the answer is: He started with 17.