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 fo

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 $

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Thành Công 4 years 2021-07-26T16:41:57+00:00 1 Answers 27 views 0

Answers ( )

  1. thienthanh
    0
    2021-07-26T16:43:18+00:00
    Reply

    Answer:

    Each bag of pretzels costs $1.75

    Step-by-step explanation:

    Let the cost of 1 box of popcorn be $x

    Let the cost of 1 bag of pretzel be $y

    _______________________________________

    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

    __________________________________

    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

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