Question

16) A student has a savings account with $475 in it. She deposits $125 ofher paycheck into the account every week. Her goal is to save $7000 forcollege. How long will it take for her to reach her goal?

Answer 1

The initial amount in the savings account was $475

Let x represent the number of weeks it will take her to reach her goal.

Since the amount that she deposits per week is $125, it means that the amount of money that she would deposit in x weeks is 125x

The total amount that she would have saved after x weeks would be expressed as

125x + 475

Since her goal is to save $7000, it means that

125x + 475 = 7000

125x = 7000 - 475

125x = 6525

x = 6525/125

x = 52.2

Since the number of weeks cannot be a fraction, then the number of weeks it will take her to reach her goal is 53 weeks