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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
Let's assume that the monthly fee is represented by "x".
According to the problem statement, you spent a total of $700 over the course of one year. Since you paid $100 as a one-time fee for joining the fitness center at the beginning, the remaining amount of $700 - $100 = $600 represents your monthly fees for the rest of the year.
Since you paid this monthly fee for 12 months, you can set up the following equation:
12x = 600
This equation states that the total amount paid for 12 months of membership (represented by 12x) is equal to $600. Now, we can solve for x by dividing both sides of the equation by 12:
x = 50
Therefore, the monthly fee for this fitness center is $50.