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Piper and Skylar go to the movie theater and purchase refreshments for their friends. Piper spends a total of $55.50 on 6 bags of popcorn and 2 drinks. Skylar spends a total of $86.00 on 8 bags of popcorn and 4 drinks. Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink. Using these equations, determine and state the price of a drink, to the nearest cent.

Respuesta :

calculista

Answer:

The price of a drink is $9.00

Step-by-step explanation:

Let

x ----> the price of one bag of popcorn

y ----> the price of  one drink

we know that

Piper spends a total of $55.50 on 6 bags of popcorn and 2 drinks

so

[tex]6x+2y=55.50[/tex] ----> equation A

Skylar spends a total of $86.00 on 8 bags of popcorn and 4 drinks

so

[tex]8x+4y=86.00[/tex] ----> equation B

Solve the system by graphing

Remember that the solution of the system is the intersection point both lines

using a graphing tool

The solution is the point (6.25,9)

see the attached figure

therefore

The price of a drink is $9.00

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