Explanation:
After how many months will Fitness Plus and Gabe's Gym have the same cost?
To find out when Fitness Plus and Gabe's Gym will have the same cost, we need to determine when the total cost of membership and monthly fees will be equal for both options.
Let's set up an equation to represent the total cost for each option:
Fitness Plus: Total cost = $30 (membership) + $20 (monthly fee) * x (number of months)
Gabe's Gym: Total cost = $50 (membership) + $15 (monthly fee) * x (number of months)
Now, we can set these two equations equal to each other and solve for x:
$30 + $20x = $50 + $15x
Simplifying the equation, we get:
$5x = $20
Dividing both sides by $5, we find:
x = 4
Therefore, Fitness Plus and Gabe's Gym will have the same cost after 4 months.