Posted by **math lover** on Saturday, April 27, 2013 at 7:50pm.

a wholesaler bought a batch of t-shirts for $77.00.She gave two of the T-shirts to her daughters and then sold the rest for a total of $90.If the wholesaler sold each T-shirt for $2 more than it cost her,how much did she pay for each T-shirt?

- algebra1 -
**Debjani**, Sunday, April 28, 2013 at 2:06pm
Let the number of t-shirts be x.

Cost of each shirt = 77/x.

No of t-shirt sold = x-2.

Selling price of each t-shirt = 90/(x-2)

By the problem,

90/(x-2) - 77/x = 2

or, (90x - 77x + 154)/x^2-2x = 2

or, 2x^2 - 17x - 154 = 0

or, 2x^2 - 28x + 11x -154 = 0

or, (2x+11)(x-14) = 0

or, x = -11/2 or 14

as the cost can't be negative, the cost of each t-shirt = $14.

- algebra1 -
**math lover**, Sunday, April 28, 2013 at 11:52pm
cost of each tshirt is 77/14=$5.5

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