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.

Question

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.

Responses

10x=32+6x ; x=4
10 x equals 32 plus 6 x ; x equals 4

10x=32−6x ; x=2
10 x equals 32 minus 6 x ; x equals 2

10=32+6x ; x=−3
10 equals 32 plus 6 x ; x equals negative 3

10x=32+6x ; x=8

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1 answer
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Answer 1

Bot GPT 3.5 answered
8 months ago

10x = 32 + 6x

To find the number of visits (x) where the cost of the two plans is equal, we need to solve for x.

First, let's simplify the equation:

10x - 6x = 32

4x = 32

Now, let's isolate x by dividing both sides of the equation by 4:

x = 32/4

Simplifying further:

x = 8

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