Sterday, a movie theater sold 262 bags of popcorn. a large bag of popcorn costs $3. a small bag of popcorn costs $1. in all,

Question

2 years ago

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Sterday, a movie theater sold 262 bags of popcorn. a large bag of popcorn costs $3. a small bag of popcorn costs $1. in all,

the movie theater made $412 from popcorn sales. write and solve a system of equations to find how many bags of each size of popcorn were sold.

Mathematics

1 answer:

Dafna11 [192] · Answer 1 · 2022-03-21T19:39:59+03:00

They sold 187 small bags and 75 large bags.

Two variables L and S (large & small)

We know that L + S = 262 -> the amount of bags sold

We also know that 3L + 1S = $412 -> total money made

L = 262 - S

Plug that into the second equation:

3(262 - S) + 1S = 412

786 - 3S + 1S = 412

786 - 2S = 412
786 - 412 = 2S
374 = 2S
S = 187
187 small bass and
So they sold 187 small bags

L = 262 - 187 = 75

They sold 75 large bags.

Sterday, a movie theater sold 262 bags of popcorn. a large bag of popcorn costs ​$3. a small bag of popcorn costs ​$1. in​ all,

Sterday, a movie theater sold 262 bags of popcorn. a large bag of popcorn costs $3. a small bag of popcorn costs $1. in all,