Question

Harry's health club cost $19 per month plus a $80 membership fee. Fiona's Fitness cost $35 per month. After how many months will the cost be the same?

Answer 1

5 months

Explanation:

Let the number of months be "x"

Lets find equation for both Harry's and Fiona's scheme.

Harry:

80 fixed cost

19 per month

So that would be 80 + 19x

Fiona:

no fixed cost, only 35 per month

So that would be 35x

Now we equate both since we want cost to be same and find x, number of months at which this will occurs. Shown below:

`80+19x=35x\\80=35x-19x\\80=16x\\x=(80)/(16)\\x=5`

Thus, after 5 months, cost will be same.