Question

Write an equation and solve

One health club charges a $60 sign up fee and $20 a month. Another club charges $15 sign up and and $35 a month. For what number of months is the cost of the clubs equal?

Answer 1

3 months

Explanation:

60 + 3(20) = 120

15 + 3(35) = 120

3 x 20 = 60 + ( 60 ) = 120

3 x 35 = 105 + ( 15 ) = 120

60 + 20x = y

15 + 35x = y

60 + 20x = 35x + 15

-15

45 + 20x = 35x

-20x

45 = 15x

45/15

x=3

x is the amount of months