Question

Isaac wants to join a gym. He checked out the memberships fees at two gyms.

Gym A charges a new member fee of $65 and $20 per month.

Gym B charges a new member fee of $25 and $35 per month, but Isaac will get a discount of 20% on the monthly fee.

Answer 1

A=65+20m
B=25+35(0.8)m
set each and solve

65+20m=25+35(0.8)m
65+20m=25+28m
minus 20m both sides
65=25+8m
minus 25 both sides
40=8m
divide both sides by 8
5=m

after 5 months
the cost will be 165