Question

Selena Gomez's gym membership costs $180 to sign up and then charges $6 for each visit. Demi Lovato's gym membership costs $160 to sign up and then charges $8 for each visit. At how many visits will they have spent the same amount of money?

a) 18 visits
b) 20 visits
c) 22 visits
d) 24 visits

Answer 1

Selena Gomez and Demi Lovato will have spent the same amount of money after 10 visits.

Step-by-step explanation:

To determine at how many visits Selena Gomez and Demi Lovato will have spent the same amount of money, we need to set up an equation. Let's say x represents the number of visits. Selena Gomez's total cost is given by the equation 180 + 6x, and Demi Lovato's total cost is given by the equation 160 + 8x. We can set these two equations equal to each other: 180 + 6x = 160 + 8x. By subtracting 6x and 160 from both sides, we get 20 = 2x. Dividing both sides by 2, we find x = 10.

Therefore, Selena Gomez and Demi Lovato will have spent the same amount of money after 10 visits.

The correct answer choice is b) 20 visits.