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.

t + 2p = cost of 1 family member

Step-by-step 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! :)

Step-by-step 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.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950