Question

Lorenzo and his friends are planning a trip to the Spring Shot trampoline park. The employee Lorenzo spoke to on the phone said the total cost for all 4 of them would be $68. This includes a $2 fee added to each entrance ticket to cover the cost of a pair of grip socks. What is the cost of an entrance ticket?

Answer 1

Let's denote the cost of an entrance ticket as \( x \). Since there are 4 friends, the total cost before the grip sock fees would be \( 4x \).

Each entrance ticket has an additional cost of $2 for grip socks, so for all 4 tickets, the total fee for the socks would be \( 4 \times 2 = 8 \) dollars.

Therefore, the total cost can be expressed as:

\[
4x + 8 = 68
\]

To find \( 4x \), we will subtract the sock fee from the total cost:

\[
4x = 68 - 8
\]

\[
4x = 60
\]

Next, we solve for \( x \) by dividing both sides by 4:

\[
x = \frac{60}{4}
\]

\[
x = 15
\]

Thus, the cost of an entrance ticket is \( \boxed{15} \).