Xander goes to the movies with his family. Each family member buys a ticket and two boxes of popcorn. If there are five members of his family, let t represent the cost of a ticket and p represent the cost of a box of popcorn. Write two different expressions that represent the total amount his family spent. Explain how each expression describes the situation in a different way.

Question

Mathematics

Lucian Church

13 September, 15:15

Xander goes to the movies with his family. Each family member buys a ticket and two boxes of popcorn. If there are five members of his family, let t represent the cost of a ticket and p represent the cost of a box of popcorn. Write two different expressions that represent the total amount his family spent. Explain how each expression describes the situation in a different way.

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Arely Lowery · Answer 1

T + 2p = cost of 1 family member

since there are 5 family members who bought one ticket and 2 popcorn, we simply multiply the cost of 1 family member by 5.

5 (t + 2p) = total cost of the whole family.

We can distribute 5 and the above equation will become.

5t + 2 (5) p ⇒ 5t + 10p = total cost of the whole family.