Question

Taylor and her children went into a movie theater and she bought $81 worth of bags of popcorn and candies. Each bag of popcorn costs $9 and each candy costs $4.50. She bought 6 more candies than bags of popcorn. Graphically solve a system of equations in order to determine the number of bags of popcorn, x,x, and the number of candies, y,y, that Taylor bought.

Answer 1

• x = bags of popcorn = 4
• y = candies = 10

Explanation:

You want to find the number of bags of popcorn (x) and candies (y) Taylor bought for $81, given that popcorn costs $9 and candies cost $4.50, and she bought 6 more candies than popcorns.

Equations

The equations relating x and y are ...

• 6x +4.5y = 81 . . . . . . . . the total cost of the snacks
• x + 6 = y . . . . . . . . . . . there were 6 more candies than popcorns

Solution

The attached graph shows the solution of thees equations is ...

(x, y) = (4, 10)

Taylor bought 4 bags of popcorn and 10 candies.

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