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8 April, 22:57

A small pool filled only with water will require an additional 300 gallons of water in order to be filled to 80% of its capacity. If pumping in these additional 300 gallons of water will increase the amount of water in the pool by 30%, what is the total capacity of the pool in gallons? A. 1000B. 1250C. 1300D. 1600E. 1625

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  1. 9 April, 01:45
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    E

    Explanation:

    Let the total capacity of the pool be x

    Let the initial volume of water in the pool be y

    then;

    300 + y = 80% of x

    300 + y = (80/100) * x

    300 + y = 0.8x ... equation 1

    300 gallons of water increased the volume by 30x

    y + 300 = y + 30% of y

    300 = 0.3y

    y = (300/0.3)

    y = 1000

    substitute y into equation 1 to get x

    300 + y = 0.8x

    300 + 1000 = 0.8x

    1300 = 0.8x

    x = (1300/0.8)

    x = 1625 gallons
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