algebra1

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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 -

    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 -

    cost of each tshirt is 77/14=$5.5

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