Option 1: Purchase a new phone for $300. Your cell phone bill will be $80 per month. Option 2: Make monthly payments of $25 for your phone. Your cell phone bill will be $70 per month (plus the $25 for the phone). How many months same overall cost?

1 Answer
Aug 5, 2018

#20# months

Explanation:

Translate each of the options into mathematical equations.
If #y# is the overall cost of the option, and #x# is the number of months, then:
Option 1: #y=300+80x#
Option 2: #y=25x+70x#

Set the equations equal to each other:
#300+80x=25x+70x#
#300=15x#
#x=20#