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Math Help - Looking for help with word problem

  1. #1
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    Looking for help with word problem

    Jaime bought a case of concert T-shirts for $450. She kept 2 for herself and sold the rest for $560, making a profit of $10 on each shirt. How many shirts were in the case?

    I cant figure out the equations to make this work, if someone could help that would be great
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  2. #2
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    Quote Originally Posted by sugar_babee
    Jaime bought a case of concert T-shirts for $450. She kept 2 for herself and sold the rest for $560, making a profit of $10 on each shirt. How many shirts were in the case?
    I cant figure out the equations to make this work, if someone could help that would be great
    I just passed by and took a peek. Solved this on paper eal quick.
    There were 18 shirts in the case.
    She sold 16 for $35 each.

    Gotta go. I'd show the computations after work, or about 6 hours from now. Sorry.
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  3. #3
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    Quote Originally Posted by sugar_babee
    Jaime bought a case of concert T-shirts for $450. She kept 2 for herself and sold the rest for $560, making a profit of $10 on each shirt. How many shirts were in the case?

    I cant figure out the equations to make this work, if someone could help that would be great
    Hello,

    1. contents of case: x
    2. contents of case after self supply: x-2
    3. price to be paid: y
    4. price when sold: y+10

    You get 2 equations:

    x \cdot y=450
    (x-2)(y+10)=560

    Because you want to know x, solve equation 1 for y and plug this term into equation 2:

    (x-2)(\frac{450}{x}+10)=560

    After a few transformations you'll get:

    10x^2-130x-900=0

    Solve for x and you get x=18 or x=-5. The negative result isn't very realistic.

    Greetings

    EB
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  4. #4
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    Thanks a lot I was just way overthinking the problem...i have trouble with word problems
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