word problem... algebra help?

a meat distributor paid 2.50$ per pound for hamburgers and $4.50 per pound for ground sirloin. How many pounds of each did he use to make 100 pounds of meat mixture that will cost 3.24$ per pound?

Comments

  • 2.5h + 4.5s = 324

    2.5h = 324 - 4.5s

    h = (324 - 4.5s)/2.5

    h + s = 100

    (324 - 4.5s)/2.5 + s = 100

    324 - 4.5s + 2.5s = 250

    324 - 2s = 250

    -2s = -74

    s = 37 <-- sirloin

    h = (324 - 4.5(37))/2.5

    h = (324 - 166.5)/2.5

    h = 157.5/2.5

    h = 63 <-- hamburger

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