Question

A vendor at a baseball game sells boxes of popcorn and bags of pretzels.

• A customer buys 2 boxes of popcorn and 1 bag of pretzels for $6.75.
• Another customer buys 1 box of popcorn and 2 bags of pretzels for $6.00.
Each bag of pretzels costs $

Answer 1

Each bag of pretzels costs $1.75

Explanation:

Let the cost of 1 box of popcorn be $x

Let the cost of 1 bag of pretzel be $y

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A customer buys 2 boxes of popcorn and 1 bag of pretzels for $6.75.

cost of 2 box of popcorn =2*$x = $2x

sum of cost 2 boxes of popcorn and 1 bag of pretzels in terms of x and y

2x + y = 6.75 equation A

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Another customer buys 1 box of popcorn and 2 bags of pretzels for $6.00

cost of 2 box of pretzel =2*$y = $2y

sum of cost of 1 box of popcorn and 2 bags of pretzels in terms of x and y

x + 2y = 6 equation B

x = 6 - 2y

substituting this value of x in equation A

2(6 - 2y) + y = 6.75

=> 12 - 4y + y = 6.75

=> -3y = 6.75 - 12 = -5.25

=> y = -5.25/-3 = 1.75

Thus, Each bag of pretzels costs $1.75