Algebra

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The total amount of water in 2 containers is 35quarts. If 7 quarts gets poured from the container with less water into the continer with more water, the container with more water will have 4times as much water as the other container. How many quarts are in the container with less water?

  • Algebra -

    container with less water = x quarts
    container with more water = y quarts

    x + y = 35 or y = 35-x

    after pouring:
    container with less water = x-7
    container with more water = y +7

    y+7 = 4(x-7)
    35-x + 7 = 4x - 28
    -5x = -70
    x = 14
    the container with less water had 14 quarts

    check:
    original:
    smaller --- 14
    larger ----- 35-14 = 21

    out-pouring:
    smaller -- 7
    larger -- 28
    Is 28 4 times as much as 7 ?? , YES

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