Question

You have $135 in a saving account and save $12 per week. Your friend has $95 in a savings account and saves $20 per week. How many weeks will it take for you and your friend to have the same balance?

Answer 1

Answer: It will take 5 weeks for you and your friend to have the same balance.

Explanation:

Let x be the number of weeks.

Total money saved = Money in saving account + (Money saved per week)×(Number of weeks)

For you, Total money saved = 135 + 12x

For your friend , Total money saved = 95 + 20x

W hen they have equal amount int heir account , then

`135+12x=95+20x\\\\\Rightarrow\ 135-95=20x-12x\\\\\Rightarrow\ 40= 8x\\\\\Rightarrow\ x=(40)/(8)=5`

So, it will take 5 weeks for you and your friend to have the same balance.