BC asked in Science & MathematicsMathematics · 1 decade ago

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Algebra word problem:How many pounds of hamburger that costs $1.10 per pound must be mixed with 50 pounds of hamburger that costs $1.80 per pound to make a mixture that costs $1.30 per pound.

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  • 1 decade ago
    Favorite Answer

    Let h = amount of $1.10 hamburger (cheap) to use

    50 = amount of $1.80 hamburger (expensive) to use

    50+h = amount of $1.30 hamburger (medium) to make

    cost of cheap HB + cost of expensive HB = cost of medium HB

    1.10h + 1.8*50 = 1.3(50+h)

    11h + 18*50 = 13(50+h) <== multiply by 10

    11h + 900 = 650 + 13h <== distribute

    11h + 900 - 11h - 650 = 650 + 13h - 11h - 650 <== subtract 11h and 650

    250 = 2h <== simplify

    h=125 <== divide by 2

    Therefore, add 125 lbs of cheap hamburger to 50 lbs of expensive to get 175 lbs of medium priced ($1.30/lb) hamburger.

    Source(s): Me, a math teacher.
  • alpha
    Lv 7
    1 decade ago

    Let x pounds of hamburger @$1.10 /pound be mixed with 50 pounds of hamburger @1.80/pound to make mixture of 50+x pounds of mixture that costs $1.30/pound

    According to the problem,

    1.10x+50*1.80=1.30(50+x)

    or,1.10x+90=65+1.30x

    or, 1.10x-1.30x=65-90

    or, -0.20x= -25

    or x= -25/-0.20=125

    Therefore 125 pounds of hamburger of $1.10 is to be mixed.

  • 1 decade ago

    let x be pound of hambergur that cost 1.10

    1.10x + 1.80(50) = 1.30 (x + 50)

    1.10x + 90 = 1.30x + 65

    -25 = -.2x

    x = 125 pounds

  • Dr D
    Lv 7
    1 decade ago

    When in doubt, let X and Y be equal to something.

    X = no of lbs of 1.10 meat

    50 = no of lbs of 1.80 meat

    Total lbs = X + 50

    Total cost = 1.1*X + 1.8*50

    Thus cost per lb = (1.1*X + 90) / (X+50) = 1.3

    1.1*X + 90 = 1.3*X + 65

    0.2*X = 25

    X = 125 lbs

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  • 1 decade ago

    See thats why i dont eat ground beef i eat ground turkey and buy it in 5 pound slabs lol I always hated story problems who think those things up anyways

  • Anonymous
    1 decade ago

    i think it's 7.1 pounds.

  • Anonymous
    1 decade ago

    i ahve no clue

  • 1 decade ago

    what?

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