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algebra 1

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A piece of lumber which is 55 inches long is cut into two parts such that 2 times the larger part will be 12 more than 5 times the smaller part. How long are each of the pieces of lumber?

  • algebra 1 -

    Just make symbols out of the words, sentence by sentence.

    two parts: x and 55-x

    We can let x be the larger piece.

    2x = 12 + 5(55-x)
    2x = 12 + 275 - 5x
    7x = 287
    x = 41

    so, the pieces are 41" and 14"

    check:

    82 = 12 + 70

  • algebra 1 -

    6 = a/4 + 2
    Is the answer 16? That's what i got

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