A group of 4 friends went to the movies. In addition to their​ tickets, they bought a large bag of popcorn to share for ​$4.75. The total was ​$38.75. Write and solve an equation to find the cost of one movie​ ticket, m. Use pencil and paper.

Let m be the cost of one movie ticket.

Since there were 4 friends and the total cost was $38.75, the total cost of the movie tickets was 4m. Adding the cost of the popcorn, the total cost is 4m + $4.75.

Therefore, the equation is:
4m + $4.75 = $38.75

Subtracting $4.75 from both sides:
4m = $34

Dividing by 4:
m = $8.50

Therefore, the cost of one movie ticket is $8.50.

Write an equation that represents the cost of one movie ticket.

Let m be the cost of one movie ticket.

Since the total cost of the movie tickets for 4 friends is $38.75, the equation can be written as:
4m = $38.75

Dividing by 4 on both sides, we get:
m = $9.6875

Therefore, the cost of one movie ticket is $9.6875.