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22 September, 10:00

One catcher's mitt and 10 outfielder's gloves cost $239.50. How much does each item cost if 1 catcher's mitt and 5 outfielder's gloves cost $134.50?

A The cost of a catcher's mitt is $29.50 and an outfielder's glove is $21.00.

B The cost of a catcher's mitt is $28.80 and an outfielder's glove is $21.07.

C The cost of a catcher's mitt is $28.50 and an outfielder's glove is $21.10.

D The cost of a catcher's mitt is $31.50 and an outfielder's glove is $20.60.

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  1. 22 September, 10:15
    0
    Make an equation for each statement with x being catcher's mitts and y being outfielder's gloves.

    x + 10y = 239.50 and x + 5y = 134.50

    Multiply the second equation through by - 1 giving - x - 5y = - 134.50

    Combine the equations vertically

    x + 10y = 239.50

    -x - 5y = - 134.50

    giving

    5y = 105

    y = 21

    Now substitute for y:

    x + 10 (21) = 239.50

    x + 210 = 239.50

    x = 29.50

    Thus, Catchers mitts $29.50 and outfielder's gloves are $21
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