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.
Let's assume "x" represents the number of visits.
For the first option, the cost per visit is $10. Therefore, the total cost for "x" visits is 10x.
For the second option, the cost per visit is $6. However, there is also a monthly fee of $32, regardless of the number of visits. Therefore, the total cost for "x" visits is 6x + 32.
To find the number of visits it would take for the cost of the two plans to be equal, we can set up the following equation:
10x = 6x + 32
Simplifying the equation:
10x - 6x = 32
4x = 32
Dividing both sides of the equation by 4:
x = 8
Therefore, it would take 8 visits for the cost of the two plans to be equal.
Let's assume the number of visits required for the cost of the two plans to be equal is represented by the variable 'x'.
For the first option, the cost per visit is $10. Therefore, the total cost for 'x' visits would be 10x.
For the second option, there is a monthly fee of $32, regardless of the number of visits. In addition to that, there is a cost of $6 for each visit. So, the total cost for 'x' visits would be 32 + 6x.
To find the number of visits where the costs are equal, we can set up the equation:
10x = 32 + 6x
Now, we can solve for 'x':
10x - 6x = 32
4x = 32
x = 32/4
x = 8
Therefore, it would take 8 visits for the cost of the two plans to be equal.
To determine the number of visits at which the cost of the two plans is equal, we can set up the following equation:
10x = 32 + 6x
In this equation, "x" represents the number of visits. The left side of the equation represents the cost of using the first option, where $10 is multiplied by the number of visits. The right side of the equation represents the cost of using the second option, where $32 is the monthly cost and $6 is multiplied by the number of visits.
To solve the equation, let's start by simplifying both sides:
10x = 32 + 6x
To isolate the "x" term on one side, we can subtract 6x from both sides:
10x - 6x = 32 + 6x - 6x
Simplifying:
4x = 32
To solve for "x," we can divide both sides by 4:
4x / 4 = 32 / 4
Simplifying:
x = 8
Therefore, it would take 8 visits for the cost of the two plans to be equal.