Write and solve an equation to answer the question:

Question

José bought 2 movie tickets and a box of popcorn. The popcorn cost $6, and he spent a total of $24. How much did each ticket cost? Use m to represent the cost of each movie ticket.
A. 2m + 6 = 24 → m = 9; each ticket cost 59.
B. 2m + 6 = 24 → m = 15; each ticket cost $15.
C. 6m - 2 = 24 → m = 3, each ticket cost $3.
D. 6m - 2 = 24 = m = 4, each ticket cost $4.

Answer 1

To solve the problem, we can set up the equation as follows:

We know that José bought 2 movie tickets and a box of popcorn, where:

• The cost of each movie ticket is represented by \( m \).
• The cost of popcorn is $6.
• The total amount spent is $24.

Thus, we can represent the total cost with the equation:

\[ 2m + 6 = 24 \]

Now, we need to solve for \( m \):

1. Subtract 6 from both sides:

\[ 2m + 6 - 6 = 24 - 6 \] \[ 2m = 18 \]

2. Divide both sides by 2:

\[ m = \frac{18}{2} \] \[ m = 9 \]

So the cost of each movie ticket is \( m = 9 \).

Now, let's check the options provided to see which one corresponds to our result:

A. \( 2m + 6 = 24 \rightarrow m = 9; \) each ticket cost $9. (CORRECT)

B. \( 2m + 6 = 24 \rightarrow m = 15; \) each ticket cost $15. (INCORRECT)

C. \( 6m - 2 = 24 \rightarrow m = 3; \) each ticket cost $3. (INCORRECT)

D. \( 6m - 2 = 24 \rightarrow m = 4; \) each ticket cost $4. (INCORRECT)

The correct answer is A. Each ticket cost $9.