A membership at Gina's gym cost $40 a month plus $150 sign-up fee. A Membership at Ridge's gym cost $20 a month plus $200 sign-up fee. After how many months will the membership cost the same.

Answer 1

The first step in solving a word problem is to write an equation, which is simply to take the sentences and make them math. We will start with the first sentence.

G=cost to attend Gina's gym

x=number of months attending

G=40x+150

R=cost to attend Ridge's gym

x=number of months attending

R=20x+200

Now we need to see when they will cost the same, which means when they will be equal to each other, then solve for x.

40x+150=20x+200

-150 -150

40x=20x+50

-20x -20x

20x=50

/20 /20

x=50/20=5/2=2.5 months