Spirit

From 55% and 80% spirit we would like to produce 0.2 kg of 60% spirit. How many of them we must use in a solution?

Correct result:

a =  0.16 kg
b =  0.04 kg

Solution:


a+b = 0.2
0.55 a + 0.80 b = 0.60 • 0.2

a+b = 0.2
0.55•a + 0.80•b = 0.60 • 0.2

a+b = 0.2
0.55a+0.8b = 0.12

a = 4/25 = 0.16
b = 1/25 = 0.04

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