Homework Help: solving algebraic equation

Posted by tanya on Wednesday, February 8, 2012 at 2:00pm.

For college orientation week,Mike sold 200 shirts.sweat shirts were priced at $50.00 each ant t-shirts at $20.00 each Mike recieve 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 - Henry, Thursday, February 9, 2012 at 6:14pm
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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