Yesterday, a movie theater sold 279 bags of popcorn. A large nag of popcorn costs $4. A small bag of popcorn costs $1. In all,the movie theater made $567 from popcorn sales. Write and solve a system of equations to find how many bags of each size of popcorn were sold.​





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Answer:

4(96) = 384

1(183) = 183

=

567 so this is your final answer.

Step-by-step explanation:

I would start off with 4x + 1y = 567

Then you have to plug in numbers for both x and y that would give you 4(96)and 1(183)

Answer:

The number of large nag of popcorn bags sold = 96

The number of small nag of popcorn bags sold = 183.

Let,

x = the number of large nag of popcorn bags sold.

y = the number of small nag of popcorn bags sold.

According to the question:

x + y = 279

4x + y = 567

Subtract the equations:

-3x = -288

x = 96.

From x + y = 279

y = 279 - x

y = 279 - 96 = 183.

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