Answer: After 6 months
Step-by-step explanation:
We can represent the first option by the equation y = 20x + 300 where x is the number of months. The second option can also be represent by the equation y = 50x + 120 .
Using these equations we can solve for the months the amounts will be the same using either option .
y = 20x +300
y = 50x + 120 substitute y into one of the equations.
20x +300 = 50x +120
-120 -120
20x + 180 = 50x
-20x -20x
180 = 30x
x= 6