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Math Help - I should know this but it is frusterating me: story problem

  1. #1
    Newbie Audriella's Avatar
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    Angry I should know this but it is frusterating me: story problem

    I dont know what it is with me and story problems but i can never seem to figure them out no matter how long i try.

    so for your help i will be eternally grateful.


    How many pounds of hamburger worth $1.05 per pound must be mixed with 60 pounds of hamburger worth $0.90 per poundto produce hamburger worth$1.00 per pound?
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  2. #2
    GAMMA Mathematics
    colby2152's Avatar
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    Quote Originally Posted by Audriella View Post
    I dont know what it is with me and story problems but i can never seem to figure them out no matter how long i try.

    so for your help i will be eternally grateful.


    How many pounds of hamburger worth $1.05 per pound must be mixed with 60 pounds of hamburger worth $0.90 per poundto produce hamburger worth$1.00 per pound?
    Let x be the pounds of missing hamburger!

    1.05x+.9*60=(60+x)*1

    1.05x+54=60+x

    0.05x=6

    x=120 pounds
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  3. #3
    Newbie Audriella's Avatar
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    Thanks
    and i know i should have known that
    but thank you.
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Colby is correct, but just to explain what happened here:

    Let x be the amount we require

    Then at the end we will have x + 60 pounds of hamburger. We want this to cost $1 per pound. So the cost will be 1(x + 60) = x + 60

    Now the cost of the 60-pound hamburger is: 60(0.90) = 54
    And the cost of burger x is: 1.05x

    We want the total cost to be the same as x + 60, hence we have:

    54 + 1.05x = x + 60

    Now solve for x, and you will get Colby's answer
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