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defon
3 years ago
5

Jacob and Zachary go to the movie theater and purchase refreshments for their friends. Jacob

Mathematics
2 answers:
son4ous [18]3 years ago
4 0
Ok lets say
popcorn = x and
drinks = y

Jacob:      2x + 3y = 18.25
Zachary:   4x + 2y = 27.50

ok now you have to use these 2 equations to get the answer

4x + 2y = 27.50  --->   2y = 27.50 - 4x   --->  y = 13.75 - 2x

2x + 3y = 18.25
2x + 3(13.75-2x) = 18.25
2x + 41.25 - 6x = 18.25
-4x + 41.25 = 18.25
-4x = -23
x = 5.75             <u><em>One bag of popcorn is $5.75</em></u><em />


4x + 2y = 27.50
4(5.75) + 2y = 27.50
23 + 2y = 27.50
2y = 4.50
y = 2.25             <u><em>One drink is $2.25</em></u><em />

Nikitich [7]3 years ago
4 0

Answer:

Popcorn costs: $5.75, and drink costs: $2.25.

Step-by-step explanation:


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