Question

You are choosing between two plans at a health club. Plan A offers an initial membership fee of $75. And you pay $15 per month. Plan B offers an initial membership fee of $20 and you pay $26 a month. How many months are the two clubs the same price?

Answer 1

5 months

Explanation:

Let the number of months equalising both plans fee = x

Plan A total fee = 75 + 15x , Plan B total fee = 20 + 26x

Equalise both: 75+15x = 20+26x ; 75-20 = 26x-15x ; 55 = 11x ; x = 55 / 11

x = 5

Proof : 75 + 15 (5) = 20 + 26 (5) ; LHS 150 = RHS 150