Alex and Leandro purchase two matinee movie tickets. A matinee ticket costs $6.50, a drink costs $5.50, and a bag of popcorn costs $6.00. Define each variable and write an algebraic expression to describe how much they spend on the number of drinks and bags of popcorn they buy.

Answer 1

Let's define the variables first:

• Let \( d \) represent the number of drinks Alex and Leandro buy.
• Let \( p \) represent the number of bags of popcorn they buy.

Now we can calculate their total spending based on the items they purchase:

1. The cost of two matinee tickets is \( 2 \times 6.50 = 13.00 \).

2. The cost of drinks is \( 5.50d \) (since each drink costs $5.50, and they buy \( d \) drinks).

3. The cost of bags of popcorn is \( 6.00p \) (since each bag of popcorn costs $6.00, and they buy \( p \) bags).

Now, we can write the total cost \( C \) as an algebraic expression:

\[ C = 13.00 + 5.50d + 6.00p \]

This expression represents the total amount they spend based on the number of drinks and bags of popcorn they buy, along with the cost of the matinee tickets.