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 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 -
**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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