solving algebraic equation

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For college orientation week,Mike sold 200 shirts.sweat shirts were priced at $50.00 each ant t-shirts at $20.00 each Mike receive a total of $6250.00 for the shirts. How many type of shirt dud Mike sell for college orientation week ?please help and show a equation to solve

  • solving algebraic equation -

    Mike sold
    X sweat shirts.
    Y T-Shirts.

    Eq1: X + Y = 200 Shirts.

    Eq2: 50x + 20y = $6250.
    Multiply Eq1 by -20 and add the 2 Eqs:
    -20x - 20y = -4000
    +50x + 20y = 6250
    Sum: 30x = 2250
    X = 75 Sweat shirts.

    In Eq1, substitute 75 for X:
    75 + Y = 200,
    Y = 125 T-shirts.

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