Question

David opens a bank account with $140 and then deposits $150 each month. Louis opens a bank account with $260 and deposits $120 each month.

How many months will it take for David and Louis to have equal amounts of money in their accounts?

A)2
B)4
C)5
D)7

Answer 1

Hello,

x= number of months that it takes for David and Louis to have equal amounts of
money.

Then:


`140+x*150=260+x*120 \\ 150x-120x=260-140 \\ 30x=120 \\ \boxed{\bold{x=4}}`

Answer: it takes 4 months --> OPTION B