Answer: After 6 Months Casey would have paid $450 at either gym.
Explanation:
Since we're looking for these two gyms cost the same, we need to make the equation compare the two together:
35x + 240 = 75x (the 1st gym with a joining fee $240 and 35 monthly equals $75 monthly)
Subtract 35x from both sides:
35x - 35x + 240 = 75x - 35x
240 = 40x
Divide by 40:
240 / 40 = 6
6 = x
So they cost the same after 6 months
35 * 6+ 240 = 75 * 6
450 = 450
And you'll be spending $450 in total.