Dattaprabhakar G. answered • 09/04/14

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Lou:

You can do the problem in terms of 1 liter as follows:

Take a proportion alpha (of 1 liter) at 8% and a proportion (1 - alpha) (of 1 liter, adding to 1 liter total) at 24 %, You want the overall proportion to be 12% in 1 liter. You get

0.08 (alpha) + 0.24 (1 - alpha) = 0.12 (1)

This gives

0.16 (alpha) = 0.12 after a little re-arrangement.

That gives alpha = 12/ 16 = 3/4.

The above shows that you must take 3/4 = 75% of the 8% solution and remaining 25% should be the 24% solution to yield 12% solution OVERALL. The total volume is 928 liters. Divide it as

**928 x 0.75 = 696 liters of 8% (the answer you want)**

and

928x 0.25 = 232 liters of 24% solution.

Dr. G.