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13 April, 14:43

a local bake shop sells cookies and cakes. On Monday, Sean bought 3 cookies and 5 cakes and spent $78.75. On Tuesday, Sean bought 8 cookies and 2 cakes and spent $40. find the price of one cookie and one cake.

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Answers (2)
  1. 13 April, 15:27
    0
    Answer: Each cookie cost $1.25 and each cake $15

    Step-by-step explanation:

    Let's call Co to the price of a cookie, and Ca to the price of a cake; we have that:

    3*Co + 5*Ca = $78.75

    8*Co + 2*Ca = $40

    Now we have a system of equations and we want to solve it, the first step is isolating one of the variables in one of the equations, let's isolate Ca in the second equation:

    2*Ca = $40 - 8*Co

    Ca = ($40 - 8*Co) / 2 = $20 - 4*Co

    Now we can replace it in the first equation, and get:

    3*Co + 5 * ($20 - 4*Co) = $78.75

    3*Co + $100 - 20*Co = $78.75

    -17*Co = $78.75 - $100 = - $21.25

    Co = $21.25/17 = $1.25

    now we can replace this value in one of the equations and get the price for a cake.

    8*$1.25 + 2*Ca = $40

    Ca = $20 - 4*$1.25 = $20 - $5 = $15

    Each cookie cost $1.25 and each cake $15
  2. 13 April, 16:58
    0
    The price of one cookie is $1.25 and the price of one cake is $15.

    Step-by-step explanation:

    Trust me I've done this exact equation in my work book i got it correct
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