Spirit

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

Correct answer:

a =  0.16 kg
b =  0.04 kg

Step-by-step explanation:


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

Row 2 - 0.55 · Row 1 → Row 2
a+b = 0.2
0.25b = 0.01


b = 0.01/0.25 = 0.04
a = 0.2-b = 0.2-0.04 = 0.16

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

Our linear equations calculator calculates it.



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