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12 October, 00:52

A chemist plans to mix 10 liters of a 40% acid solution with some 70% to obtain a 50% solution. How much of the 70% solution should be used?

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  1. 12 October, 01:17
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    A chemist plans to mix 10 liters of a 40% acid solution with some 70% to obtain a 50% solution

    40% = 0.4

    70% = 0.7

    50% = 0.5

    A chemist plans to mix 10 liters of a 40%. So 10 times of 0.4 = 4

    Let x be the some amount of solution of 70%

    70% of x = 0.7x

    chemist obtain a 50% of solution

    Amount of mixture is 10 + x

    So 10+x of 50% = (10+x) * 0.5

    Now we frame an equation

    10 * 0.4 + x * 0.7 = (10+x) * 0.5

    4 + 0.7x = 5 + 0.5x

    Subtract 4 and 0.5x on both sides

    0.2 x = 1

    Divide by 0.2

    So x = 5

    5 liters of 70% of solution is used.
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