Golds gym charges $150 to sign up and $10 per month. Fitness express charges not initial fee but charges $25 per month. When will the cost be the same?
Show work please!!
Solve:
150+10m = 25m , where m is the number of months
To find out when the cost will be the same for both Gold's Gym and Fitness Express, we need to set up an equation.
Let's represent the number of months as 'x'. The cost for Gold's Gym will be the initial fee of $150 plus $10 per month (150 + 10x). On the other hand, the cost for Fitness Express will be $25 per month (25x).
The equation to find when the cost is the same will be:
150 + 10x = 25x
To solve this equation, we can subtract 10x from both sides to isolate the variables:
150 = 15x
Next, we divide both sides of the equation by 15 to solve for x:
150/15 = x
10 = x
Therefore, after 10 months, the cost will be the same for Gold's Gym and Fitness Express.
To verify:
Gold's Gym: 150 + 10(10) = 150 + 100 = $250
Fitness Express: 25(10) = $250
Both options will cost $250 after 10 months.