alegbra math word problem

Question

You are choosing between two health clubs. Club A offers membership for a fee of

$25

plus a monthly fee of

$29.  

Club B offers membership for a fee of

$15

plus a monthly fee of

$31.  

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

25 + 29M = 15 + 31M

(31 -29)M = 25-15

2M = 10

M = 10/2 = 5 months when the cost is the same

cost = 25+29M = 25+29(5) = 25+ 145 = $170 for 5 months

or 15 + 31M = 15 + 31(5) = 15+ 155 = $170 for 5 months