an ice skating rink has two ways you can use the facility. The first option is to pay $10 per visit. The second option is to pay $32 per month, and $6 per visit. Write and solve an equation to show the number of visits it would take for the cost of the two plans to be equal.

Answer 1

Let x be the number of visits.

For the first option:
Cost = $10x

For the second option:
Cost = $32 + $6x

Setting the two costs equal to each other:
$10x = $32 + $6x

Subtracting $6x from both sides:
$4x = $32

Dividing both sides by $4:
x = 8

Therefore, it would take 8 visits for the cost of the two plans to be equal.