Question

The Calm Spa charges annual fee of $125 plus $10 per hour of use. The Relax Spa charges annual dues of $230 plus $7 per hour of use. For what number of hours would be cost be the same for both spas?

Answer 1

The total number of hours = 35 hours.

Explanation:

The annual fee of Calm Spa = $125

Per hour charge of Calm Spa = $10

Annual fee of Relax Spa = $230

Per hour charge of Relax Spa = $7

Now we have to find the number of hours for which both have same cost.

Let the number of hours = x

Thus, 125 + 10x = 230 + 7x

10x-7x = 230 – 125

3x = 105

x = 35

The total number of hours = 35 hours.