“Jason is with a large group of friends at the movie theater. He plans on buying a few popcorns and drinks for his friends.

Question

“Jason is with a large group of friends at the movie theater. He plans on buying a few popcorns and drinks for his friends. Each popcorn cost $4 and each drink cost $3. He only has $24 with him.”

What would be an appropriate set of inequalities to represent how many popcorns and drinks that Jason could purchase (p = number of popcorns, d = number of drinks)?

Answer 1

p = number of popcorns d = number of drinks

We know that Jason only has $24 with him, therefore we know that the maximum he can spend is $24, no more. At this point, we can write an inequality that represents how much Jason will spend.

4p + 3d <= 24

4p means that for every popcorn Jason buys, it will cost him $4. 3d means that for every drink Jason buys, it will cost him $3. The total cost of popcorn and drinks has to be less than or equal to $24.

Answer 2

The inequality

4p + 3d ≤ 24