we can write an equation. If x is the number of months...
50+65x=180+55x.
Subtract 55x on both sides and subtract 50 on both sides to get...
10x=130
Divide by 10 on both sides to get...
x=13
So 13 months.
For the amount, plug in 13 to either side of the equation to get an amount of 895 dollars