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27 December, 03:45

It is known that when a certain liquid freezes into ice, its volume increases by 8%. Which of these expressions is equal to the volume of this liquid that freezes to make 1,750 cubic inches of ice?

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  1. 27 December, 03:59
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    Volume of liquid which freezes to ice is 1620. 37.

    Expression to find this is 108x/100 = 1750

    Step-by-step explanation:

    Let the volume of liquid be x cubic inches

    It is given that volume of liquid increases by 8% when it freezes to ice

    increase in volume of x x cubic inches liquid = 8% of x = 8/100 * x = 8x/100

    Total volume of ice = initial volume of liquid + increase in volume when it freezes to ice = x + 8x/100 = (100x + 8x) / 100 = 108x/100

    Given that total volume of liquid which freezes is 1750

    Thus,

    108x/100 = 1750

    108x = 1750*100

    x = 1750*100/108 = 1620. 37

    Volume of liquid which freezes to ice is 1620. 37.

    Expression to find this is 108x/100 = 1750
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