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 equations that can be used to find x, the cost of one ticket to the museum.

the cost of one ticket to the museum is $6.9

Step-by-step 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

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.