A family purchased tickets to a museum and spent a total of $38.00. The family purchased 4 tickets. 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.
Let x be the cost of one ticket to the museum.
So, the cost of 4 tickets would be 4x.
Since there was a $1.50 processing fee for each ticket, the total cost of the tickets would be 4x + 4(1.50) = 38.
Simplifying the equation, we have:
4x + 6 = 38
Subtracting 6 from both sides, we get:
4x = 32
Dividing both sides by 4, we find:
x = 8
Therefore, the cost of one ticket to the museum is $8.