Question

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.

Answer 1

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

$5x+4.25y=35.50$ -----> equation A

She bought 3 times as many candies as drinks.

so

$y=3x$ -----> 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