# 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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