Question

Shawna has $750 in the bank. She deposits $37.50 each week. Ruben has $850 in the bank. He deposits his paycheck of $102.75 every Monday, and he spends about $70.25 each week. After how many weeks will they have the same amount of money in the bank?

Answer 1

I came up with something but not sure at all, so if you don't get anything better, check with your teacher to see if it makes any sense!

After spendings Ruben deposits $32.5

So I ask;
After how many of Shawna's $37.5 deposit + $750 will be equal to how many of Ruben's $32.5 + $850

i.e. 37.5x + 750 = 32.5x + 850

37.5x - 32.5x = 850 - 750

5x = 100

x = 20 weeks

I check this Ruben = 32.5x20wks + 850 = 1500

for Shawna = 37.5x20wks + 750 = 1500

It actually checks out. Good luck..