joe and james are selling pies for a school fundraiser. Customers can buy blueberry pies and blackberry pies. Joe sold 5 blueberry pies and

Question

joe and james are selling pies for a school fundraiser. Customers can buy blueberry pies and blackberry pies. Joe sold 5 blueberry pies and 10 blackberry for a total of $135. James sold 1 blueberry pie and 9 blackberry pies and 10 blackberry pies for a total of 104. Find the cost each of one blueberry pie and one blackberry pie.

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Mộc Miên 4 years 2021-07-25T17:55:30+00:00 1 Answers 22 views 0

Answers ( )

  1. trucchi
    0
    2021-07-25T17:57:14+00:00
    Reply

    This is a system of equations problem.

    Blueberry = X, blackberry = Y

    Joe:
    5x + 10y = 135

    James:
    x + 9y = 104

    Let’s isolate x from James’ equation.
    x = 104 – 9y

    Now substitute that into the first equation.
    5(104 – 9y) + 10y = 135

    520 – 45y + 10y = 135

    -35y = -385

    y = -385/-35. The negatives cancel out, leaving us with $11 for blackberries.

    Now we can substitute that value into James’s equation.

    x + 9(11) = 104

    x = 104 – 99

    x = $5

    Final answer: Blueberry pies cost $5, blackberry pies cost $11.

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