Members of the Campus Roller Rink pay a yearly membership fee of $50 plus $5 each time they go skating. nonmembers pay $10 each time the go skating. How many times would both members and nonmembers have to go skating in a year in order to pay the same amount?

10

50+5x = 10x

now just solve for x

To determine how many times both members and nonmembers would have to go skating in a year in order to pay the same amount, we need to set up an equation. Let's represent the number of times they go skating as "x".

For members:
Yearly membership fee = $50
Cost per skating session = $5
Total cost for members = $50 + $5x

For nonmembers:
Cost per skating session = $10
Total cost for nonmembers = $10x

Setting the two equations equal to each other:
50 + 5x = 10x

Now, let's solve for x to find the number of times they would need to go skating to pay the same amount:

50 = 10x - 5x
50 = 5x
x = 10

Therefore, both members and nonmembers would have to go skating 10 times in a year in order to pay the same amount.