Answer: the cost of one ticket to the museum is $6.9
Explanation:
Let x represent the cost of one ticket to the museum.
The family purchased 4 tickets. There was a $1.50 processing fee for each ticket. This means that the total cost of purchasing and processing x tickets would be
4x + 1.5x
The family purchased tickets to the museum and spent a total of $38.00. The equation representing this situation would be
4x + 1.5x = 38
5.5x = 38
x = 38/5.5
x = $6.9