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14 May, 20:09

The total price of a shirt and a cap is $11. If the price of the shirt was doubled and the price of the cap was three times its original price, the total price of a shirt and a cap would be $25. The following system of equations models this scenario:

x + y = 11

2x + 3y = 25

What is the price of each shirt and cap?

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Answers (1)
  1. 14 May, 21:03
    0
    shirt = $8

    cap=$3

    Step-by-step explanation:

    rearrange one of the equations

    y=11-x

    then plug into the other equation

    2x+3 (11-x) = 25

    solve

    2x+33-3x=25

    -x+33=25

    subtract 33 from both sides

    -x=-8

    divide by - 1

    x=8

    the put that answer into original equation

    8+y=11

    subtract 8 from both sides

    y=3
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