algebra1
posted by math lover on .
a wholesaler bought a batch of tshirts for $77.00.She gave two of the Tshirts to her daughters and then sold the rest for a total of $90.If the wholesaler sold each Tshirt for $2 more than it cost her,how much did she pay for each Tshirt?

Let the number of tshirts be x.
Cost of each shirt = 77/x.
No of tshirt sold = x2.
Selling price of each tshirt = 90/(x2)
By the problem,
90/(x2)  77/x = 2
or, (90x  77x + 154)/x^22x = 2
or, 2x^2  17x  154 = 0
or, 2x^2  28x + 11x 154 = 0
or, (2x+11)(x14) = 0
or, x = 11/2 or 14
as the cost can't be negative, the cost of each tshirt = $14. 
cost of each tshirt is 77/14=$5.5