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2 years ago

Emily and Sophia go to the movie theater and purchase refreshments for their friends.

Mathematics

2 answers:

siniylev [52]2 years ago

3 0

Answer:erhy46jj

Step-by-step explanation:

Troyanec [42]2 years ago

3 0

Answer:

7 d + 4 p = 45.50

4d + 2p = 25.50

bag of popcorn = $1.75

Step-by-step explanation:

Emily's equation:

7 d + 4 p = 45.50

Sophia's equation

4d + 2p = 25.50

Where:

d = price of a drink

p = price of a bag of popcorn

Solving for p in Sophia's equation

4p =45.50 - 7d

p = (45.50 -7d)/4

p = 11.375 -1.75 d

Replacing the value of "p" in Emily's equation:

4d + 2p = 25.50

4d + 2 (11.375 -1.75 d) =25.50

4d +22.75 -3.5d =25.50

4d-3.5d =25.50-22.75

0.5 d= 2.75

d= 2.75/0.5

d = 5.5 (price of each drink)

Finally, replacing the value of "d" in Emily's equation:

7(5.5) + 4 p =45.5

38.5 +4p =45.5

4p =45.5-38.5

4p =7

p =7/4= $1.75

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