Question

Xander goes to the movies with his family. Each family member buys a ticket and two boxes of popcorn. 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. Explain how each expression describes the situation in a different way.

Answer 1

Explanation:

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.

Answer 2

t + 2p = cost of 1 family member

Explanation:

Because there are 5 family members who buy 1 ticket and 2 boxes of popcorn, we must multiply the cost of one family member by five .

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.

Hope that helps! :)