Question

a group of 4 friends went to the movies. in addition to their tickets, they bought a large bag of popcorn to share for $9.75. the total was $47.75. complete parts a and b.
a. write and solve an equation to find the cost of one movie ticket, m.
an equation representing the situation is \boxed{}

Explanation:

Step1: Define total cost equation

Let $m$ = cost of one ticket. Total cost = 4 tickets + popcorn:
$$4m + 9.75 = 47.75$$

Step2: Isolate the ticket cost term

Subtract 9.75 from both sides:
$$4m = 47.75 - 9.75$$
$$4m = 38$$

Step3: Solve for single ticket cost

Divide both sides by 4:
$$m = \frac{38}{4}$$
$$m = 9.5$$

Answer:

An equation representing the situation is $\boldsymbol{4m + 9.75 = 47.75}$
The cost of one movie ticket is $\boldsymbol{\$9.50}$