Question

Mrs. Jones is taking her family to Penguin Zone ice rink. The employee she spoke to on the phone said the total cost for all 6 of them would be $72. This includes the entrance ticket and the $4 skate rental fee for each person. Which equation can you use to find c, the cost of an entrance ticket?

Answer 1

The cost of an entrance ticket, c, can be found using the equation T = 6c + 24, where T is the total cost of $72 for Mrs. Jones's family of 6, including a $4 skate rental fee per person. By substituting in the known values and solving for c, we calculate that each entrance ticket costs $8.

Step-by-step explanation:

To find c, the cost of an entrance ticket to Penguin Zone ice rink, we need to create an equation that incorporates the total cost for Mrs. Jones's family of 6, which includes the skate rental fee per person. We know the total cost (T) is $72 and each person is charged a $4 skate rental fee (S) in addition to the entrance ticket price (c).

An equation to represent this situation would be:

T = 6c + 6S

Since we know that the skate rental fee (S) is $4, we substitute this value in:

T = 6c + 6(4)

Which simplifies to:

T = 6c + 24

We also know the total cost (T) is $72, so we can find the cost of an entrance ticket (c) by plugging in the total cost:

72 = 6c + 24

To solve for c, subtract 24 from both sides:

48 = 6c

Then divide both sides by 6 to find the cost of one entrance ticket:

c = 8

Therefore, the cost of an entrance ticket is $8.