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10 March, 22:52

A vendor sells hot dogs, bags of potato chips, and soft drinks. A customer buys 4 hot dogs, 3 bags of potato chips, and 4 soft drinks for $15.25. The price of a hot dog is $1.25 more than the price of a bag of potato chips. The cost of a soft drink is $2.75 less than the price of two hot dogs. Find the cost of each item

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  1. 11 March, 00:41
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    The price of chips is $ 0.75, the price of a hot dog is $ 2 and the price of a soft drink is $ 1.25.

    Step-by-step explanation:

    Given,

    A customer buys 4 hot dogs, 3 bags of potato chips, and 4 soft drinks for $15.25.

    The price of a hot dog is $1.25 more than the price of a bag of potato chips.

    The cost of a soft drink is $2.75 less than the price of two hot dogs.

    To find the cost of each item.

    Let,

    The price of chips = x

    The price of a hot dog = x+1.25

    Price of two hot dog = 2 (x+1.25) = 2x+2.5

    The price of a soft drink = 2x+2.5-2.75 = 2x-0.25

    Now,

    According to the problem,

    4 (x+1.25) + 3x+4 (2x-0.25) = 15.25

    or, 15x+5-1 = 15.25

    or, 15x = 11.25

    or, x = 0.75

    Hence,

    The price of chips = $ 0.75

    The price of a hot dog = $ 0.75+1.25 = $ 2

    The price of a soft drink = $ 2*0.75-0.25 = $ 1.25
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