Yesterday, a movie theater sold 278 bags of popcom. A large bag of popcorn costs $3. A small bag of popcom costs $1. In all, the more theater made shes from popcorn sales. Write and solve a system of equations to find how many bags of each size of popcom were sold.

They sold 175 small popcorns and 103 Large popcorns

Step-by-step explanation:

The equation is

L + S = 278 this means the total large and small popcorn that they sold is 278

3L+1S= 484  The owner of the question told me the total profit is 484

When we solve we can turn the first equation into L=-S+278

we substitute  L=-S+278 into 3L+1S=484 we get  -3S+ 834+ S= 484

-3S+834+1S=484

-2S+ 834= 484

-2S=- 350

2s= 350

s= 175

We know that they sold 175 small popcorns now. Now we Substitute 175 into L+ S= 278 and get L+ 175=278

L+175=278

L= 103

They sold 175 small popcorns and 103 Large popcorns

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