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 equation to determine the monthly fee.
It's $50
12x+100=$700
First, subtract $100 from $700. The $100 is not part of the monthly fee.
$700-$100=$600.
Next, divide $600 by 12 to find the monthly fee.
600 divided by 12 equals 50.
Therefore, the monthly fee is $50.
Simplifying
12x + 100 = 700
Reorder the terms:
100 + 12x = 700
Solving
100 + 12x = 700
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-100' to each side of the equation.
100 + -100 + 12x = 700 + -100
Combine like terms: 100 + -100 = 0
0 + 12x = 700 + -100
12x = 700 + -100
Combine like terms: 700 + -100 = 600
12x = 600
Divide each side by '12'.
x = 50
Simplifying
x = 50
Monthly fee = $X.
100 + 12x = 700.