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A scientist wants to combine two metal alloys into 20 kg of a third alloy which is 60% aluminum. He plans to use one alloy with 45% aluminum content, and a second alloy with 70% aluminum content. How many kilograms of each alloy must be combined?

  • math -

    Number of kg of 45% alum .... x
    number of kg of 70% alum .... 20-x

    solve for x

    .45x + .70(20-x) = .60(20)

    (I suggest multiplying each of the 3 term by 100 first)

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