Question

Fitness 19 charges a $44 sign up fee and $30 per month. LA fitness charges a $99 sign up and $25 per month. For what number of months is the cost the same?

Answer 1

11 months

Explanation:

Let x = months

y = total cost

Since Fitness 19 charges $30 a month, we multiply x by 30 like this: 30x

$44 is already added on the cost, so the Fitness 19 equation will look like this:

y = 30x + 44

Since LA Fitness charges $25 a month, multiply x by 25 like this: 25x

$99 is already added to the cost, so the LA Fitness equation will look like this:

y = 25x + 99

We need to find the point where they are both the same

30x + 44 = 25x + 99

First, move like terms to one side by subtracting 25x from both sides

30x + 44 = 25x + 99

- 25x - 25x

5x + 44 = 99

Then, subtract 44 from both sides

5x + 44 = 99

- 44 - 44

5x = 55

Finally, isolate the variable, x, by dividing both sides by the coefficient, 5

5x/5 = 55/5

x = 11