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16 July, 10:46

When a water tank is $30/%$ full, it contains 27 gallons less than when it is $20/%$ empty. How many gallons of water does the tank hold when it is full?

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  1. 16 July, 12:18
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    54 gallons

    Step-by-step explanation:

    Let x represent the volume of the full tank.

    When the water tank is 30% full;

    = 30% of x = 0.30x

    when it is 20% empty:

    = x - 20% of x = x - 0.20x = 0.80x

    The difference is given as 27.

    So, we can represent the question on an equation as;

    0.80x - 0.30x = 27

    Solving the equation, we have;

    0.50x = 27

    x = 27/0.50

    x = 54 gallons

    The tank can hold 54 gallons when it is full.
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