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2 November, 15:15

How much water should we add to 35 kg of sugar syrup to change its concentration from 30% to 25%?

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  1. 2 November, 15:56
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    35kg - a mass of sugar syrup

    30% of 35kg it's a mass of sugar

    30% = 30 : 100 = 0.3

    30% of 35kg = 0.3 · 35kg = 10.5kg - a mass of sugar

    Add xkg water. Then we have (35 + x) kg of sugar syrup and still 10.5kg of sugar.

    10.5kg is 25% of (35 + x) kg.

    (35 + x) - - 100%

    10.5 - - 25% multiply both sides by 4

    42 - - 100%

    Therefore we have the equation:

    35 + x = 42 subtract 35 from both sides

    x = 7

    Answer: We should add 7kg of water.
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