Question

10 girls go to see a chick flick together on a friday night at their local megaplex. they buy x large popcorns and y large fountain drinks. together they spend $85 on snacks. they walk into an empty theater that has been recently cleaned. they have the theater to themselves. when they leave, there are 14 things in the garbage. how many large popcorns and how many large fountain drinks did they have?

Answer 1

Answer:

They had 4 large popcorn and 10 large fountain drinks

Step-by-step explanation:

The picture of the question in the attached figure

I think the price of the large popcorn is $7.50 and the price of the large fountain drink is $5.50 (The picture is not clear)

so

Let

x ----> the number large popcorns

y ----> the number of large fountain drinks

we know that

$x+y=14$ ----> equation A

$7.50x+5.25y=85$ ----> equation B

Solve the system by graphing

Remember that the solution of the system of equations is the intersection point both graphs

using a graphing tool

The solution is the point (4,10)

see the attached figure

therefore

They had 4 large popcorn and 10 large fountain drinks