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Sarah and her children went into a movie theater and she bought $35.50 worth of drinks and candies. Each drink costs $5 and each candy costs $4.25. She bought 3 times as many candies as drinks. Determine the number of drinks and the number of candies that Sarah bought.

Respuesta :

calculista

Answer:

The number of drinks that Sarah bought was 2 and the number of candies that Sarah bought was 6

Step-by-step explanation:

Let

x ----> the number of drinks that Sarah bought.

y ----> the number of candies that Sarah bought.

we know that

she bought $35.50 worth of drinks and candies

so

[tex]5x+4.25y=35.50[/tex] -----> equation A

She bought 3 times as many candies as drinks.

so

[tex]y=3x[/tex] -----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (2,6)

see the attached figure

therefore

The number of drinks that Sarah bought was 2 and the number of candies that Sarah bought was 6

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