Question

Please hell will medal!

Answer 1

You have $22 in your bank account and deposit $11.50 each week. At the same time your cousin has $218 but is withdrawing $13 each week. When will your accounts have the same balance?

Answer 2

ok so x will be the number of weeks it will take to get the same money.

First, make the equation
22+11.50w=218-13w

this equation says that you have $22 and you will gain $11.50 each week. This will be equal to the amount of how your cousin in a certain number of weeks. He has $218 and loses $13 a week.

22+11.50w=218-13w
-22 from both sides
11.50w=196-13w
then add 13 w to both sides
24.50w=196
now divide both sides by 24.50 so the "w" is alone.
you will end up with:
w=8
so you know that in 8 weeks you and your cousin will have the same amount of money

And after 12 weeks, you just use the starting equation:
22+11.50w=218-13w
and add in the value of 12 to both w's
22+11.50(12)=218-13(12)
22+138=218-156
160=62
the left is the amount you will have and the right is the amount your cousin will have.
After 12 weeks you have: $160
cousin: $62

Answer 3

Thank you! @babybayby