Math problem please help A student bake sale is selling baked goods. In total they sell 100 pieces of baking, Chocolate chip coo

Question

Math problem please help

A student bake sale is selling baked goods. In total they sell 100 pieces of baking, Chocolate chip cookies sell for $0.50 and Muffins for $1.25. The total money earned from the bake sale came to 68.75. How many muffins did they sell?

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Khải Quang 4 years 2021-07-25T20:08:43+00:00 1 Answers 28 views 0

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  1. kimcuc
    0
    2021-07-25T20:10:25+00:00
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    Answer:

    The number of muffins sold by the students is:

    • 25 muffins.

    Step-by-step explanation:

    First, we name the variables:

    • C= Number of chocolate chip cookies sold.
    • M= Number of muffins sold.

    Now we establish the equations with the information given in the exercise:

    1. C + M = 100
    2. 0.5C + 1.25M = 68.75

    We can use in this case the reduction method, to this, we multiply the first equation by (-0.5) obtaining the equation 3:

    • [C + M = 100] * (-0.5) = -0.5C – 0.5M = -50

        3. -0.5C – 0.5M = -50

    We operate the equations 2 and 3 to eliminate the variable C:

    • (0.5C + 1.25M = 68.75) + (-0.5C – 0.5M = -50) = (0.75M = 18.75)

    And we solve for the variable M:

    • 0.75M = 18.75
    • M = 18.75/0.75
    • M = 25

    We could stop here because we know the number of muffins now, but with the value for M, we can solve the value of C with the first equation to check the answer is correct:

    • C + M = 100
    • C + 25 = 100
    • C = 100 – 25
    • C = 75

    In the end, we replace the values in the second equation and verify if the answer is correct:

    • 0.5C + 1.25M = 68.75
    • 0.5 * (75) + 1.25 * (25)  = 68.75
    • 37.5 + 31.25 = 68.75
    • 68.75 = 68.75

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