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.

Sarah bought 2 drinks and 6 candies at the movie theater.

An equation shows the relationship between two or more numbers and variables.

Let x represent the number of drinks bought and y represent the number of candies bought.

Each drink costs $5 and each candy costs $4.25 and she bought $35.50 worth of drinks and candies. Hence:

5x + 4.25y = 35.50    (1)

She bought 3 times as many candies as drinks. Hence:

y = 3x

-3x + y = 0      (2)

Solving equations 1 and 2 simultaneously gives:

x = 2, y = 6

Sarah bought 2 drinks and 6 candies at the movie theater.

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