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11 April, 15:48

At Raging River Sports, polyester-fill sleeping bags sell for $79. Down-fill sleeping bags sell for $149. In one week the store sold 14 sleeping bags for $1456.

A. Let x represent the number of polyester-fill bags sold and let y represent the number of down-fill bags sold. Write a system of equations you can solve to find the number of each type sold.

B. Explain how you can solve the system for y by multiplying and subtracting.

C. Explain how you can solve the system for y using substitution.

D. How many of each type of bag were sold?

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  1. 11 April, 16:47
    0
    A.

    x+y=14

    79x+149y=1456

    B.

    -79 (x+y=14)

    79x+149y=1456

    -79x-79y=-1106

    79x+149y=1456

    70y=350

    y=350/70

    y=5

    79x+149 (5) = 1456

    79x+745=1456

    79x=1456-745

    79x=711

    x=711/79

    x=9

    C.

    x=-y+14

    79 (-y+14) + 149y=1456

    -79y+1106+149y=1456

    -79y+149y=1456-1106

    70y=350

    y=350/70

    y=5

    x=-y+14

    x=-5+14

    x=9

    D.

    9 polyester-fill

    5 down-fill
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