A breakfast menu liste 3 eggs with 2 sausage for $4.15 or 4 eggs with 1 sausage for $4.30 . What is the cost of 1 egg, and what is the cost

Question

A breakfast menu liste 3 eggs with 2 sausage for $4.15 or 4 eggs with 1 sausage for $4.30 . What is the cost of 1 egg, and what is the cost for 1 sausage?

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Nick 3 years 2021-08-23T08:15:02+00:00 1 Answers 10 views 0

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  1. sori
    0
    2021-08-23T08:16:14+00:00
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    Answer:

    Cost of 1 egg = x = $0.89

    Cost of 1 sausage = y = $0.74

    Step-by-step explanation:

    Let the:

    Cost of 1 egg = x

    Cost of 1 sausage = y

    A breakfast menu lists:

    3 eggs with 2 sausage for $4.15

    3x + 2y = 4.15……Equation 1

    4 eggs with 1 sausage for $4.30 .

    4x + y = 4.30…… Equation 2

    y = 4.30 – 4x

    We substitute 4.30 – 4x for y in Equation 1

    3x + 2(4.30 – 4x) = 4.15

    3x + 8.6 – 8x = 4.15

    3x – 8x = 4.15 – 8.6

    -5x = -4.45

    x = -4.45/-5

    x = $0.89

    Solving for y

    y = 4.30 – 4x

    y = 4.30 – 4(0.89)

    y = 4.30 – 3.56

    y = $0.74

    Therefore,

    Cost of 1 egg = x = $0.89

    Cost of 1 sausage = y = $0.74

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