It costs $100 to join a fitness center plus a monthly fee. You spent $700 last year at the fitness center. How much was the monthly fee? Write and solve an algebraic equation to determine the monthly fee.

Question

It costs $100 to join a fitness center plus a monthly fee. You spent $700 last year at the fitness center. How much was the monthly fee? Write and solve an algebraic equation to determine the monthly fee.

Answer 1

Let's call the monthly fee "m".

We know that it costs $100 to join the fitness center, so the total cost for the year would be:

$100 + 12m

We also know that you spent $700 last year at the fitness center, so we can set up an equation:

$100 + 12m = $700

Now we can solve for m:

$100 + 12m = $700

Subtract $100 from both sides:

12m = $600

Divide both sides by 12:

m = $50

Therefore, the monthly fee for the fitness center is $50.