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20 September, 12:01

A bakery sells muffins for $3.50 each. a beverage is $1.75. a class purchases 32 items and spends a total of $87.50.

a. define your variables. write the system of equations and represent it as a matrix equation.

b. state the value of determinant

c. use matrices to solve the system. find the number of muffins and the number of beverages purchased.

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  1. 20 September, 12:04
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    For the answer to the question above.

    Given:

    muffins = 3.50

    beverage = 1.75

    total number of items = 32

    total cost = 87.50

    m + b = 32

    3.50m + 1.75b = 87.50

    m = 32 - b

    3.50 (32-b) + 1.75b = 87.50

    112 - 3.50b + 1.75b = 87.50

    -3.50b + 1.75b = 87.50 - 112

    -1.75b = - 24.50

    b = - 24.50 / - 1.75

    b = 14

    m = 32 - b

    m = 18

    The class bought 18 muffins and 14 beverages.

    3.50m + 1.75b = 87.50

    3.50 (18) + 1.75 (14) = 87.50

    63 + 24.50 = 87.50

    87.50 = 87.50
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