A membership at Gisele’s Gym costs $145 to join and $3 for each visit.
A membership at Freddie’s Fitness costs $75 to join and $5 for each visit.
For which number of visits would both locations have the same total cost?
To find the number of visits at which both locations have the same total cost, we need to set up an equation.
Let's assume the number of visits is represented by 'x'.
For Gisele's Gym, the total cost is the sum of the initial joining fee ($145) and the product of the number of visits (x) and the cost per visit ($3). Therefore, the total cost for Gisele's Gym is: 145 + 3x.
For Freddie's Fitness, the total cost is the sum of the initial joining fee ($75) and the product of the number of visits (x) and the cost per visit ($5). Therefore, the total cost for Freddie's Fitness is: 75 + 5x.
For both locations to have the same total cost, we set up the equation:
145 + 3x = 75 + 5x.
To solve this equation, let's isolate the variable:
145 - 75 = 5x - 3x.
Simplifying:
70 = 2x.
Dividing both sides by 2:
70/2 = 2x/2.
35 = x.
Therefore, for both locations to have the same total cost, the number of visits would be 35.
To find the number of visits at which both locations have the same total cost, we need to set up an equation and solve for the unknown variable.
Let's assume the number of visits is represented by 'x'.
Total cost at Gisele's Gym = $145 (membership fee) + $3 (cost per visit) * x (number of visits)
Total cost at Freddie's Fitness = $75 (membership fee) + $5 (cost per visit) * x (number of visits)
To find the number of visits at which both locations have the same total cost, we can set up the equation:
145 + 3x = 75 + 5x
Now, let's solve for 'x':
145 - 75 = 5x - 3x
70 = 2x
x = 70/2
x = 35
Therefore, at 35 visits, both Gisele's Gym and Freddie's Fitness would have the same total cost.
Solve for x
3x+145 = 5x + 75