Choosing between two health clubs

Question

You are choosing between two health clubs. Club A offers membership for a fee of $18 plus a monthly fee of $12. Club B offers membership for a fee of $16 plus a monthly fee of $13. After how many months will the total cost of each health club be the​same? What will be the total cost for each​ club?

Answer 1

A = 18+12m

B=16+13m

set them equal

A=B

18+12m = 16+13m

13m-12m = 18-16

m = 2 months for A and B to be the same cost for each

at a cost of 18+12(2) = 18+24 = $42 for A

at a cost of 16+13(2) = 16+26 = $42 for B