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Let v be the capacity in milliliters of the 75% solution required then (90 - v) is the required capacity of the 84% solution needed.

75/100v + 84/100(90 - v) = 77/100 x 90

75v + 84(90 - v) = 77 x 90

75v + 7560 - 84v = 6930

9v = 7560 - 6930 = 630

v = 70 : therefore (90 - v) = 20

The mixed solution requires 70ml of the 75% solution and 20ml of the 84% solution to create 90ml of 77% solution.

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Q: A chemist needs 90 milliliters of a 77 percent solution but has only 75 percent and 84 percent solutions available Find how many milliliters of each that should be mixed to get the desired solution?
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