Question

A family purchased tickets to a museum and spent a total of $38. The family purchased 4 tickets, and there was a $1.50 processing fee for each ticket. Write and solve an equation that can be used to find x, the cost of one ticket to the museum. Show your work or explain your answer.

A) 4x + 1.5 = 38; x = $9.375
B) 4x - 1.5 = 38; x = $9.625
C) 4x + 1.5 = 38; x = $8.625
D) 4x - 1.5 = 38; x = $8.375

Answer 1

By setting up an equation to account for the cost of the four tickets and the processing fee, we determine that the cost of one ticket to the museum (x) is $8.

Step-by-step explanation:

To find the cost of one ticket to the museum (x), we can set up an equation based on the total amount spent on tickets and the processing fee per ticket. With 4 tickets purchased and a $1.50 processing fee per ticket, the equation would be:

4x + (4 × 1.50) = 38

First, calculate the total processing fee for all tickets:

4 × 1.50 = 6

Now, the equation simplifies to:

4x + 6 = 38

Subtract 6 from both sides of the equation to isolate the term with x:

4x = 38 - 6

4x = 32

Finally, divide both sides by 4 to solve for x:

x = 32 ÷ 4

x = 8

Therefore, the cost of one ticket to the museum is $8. The correct answer is not provided in the options above.