Sufficient 4019

We want to prepare 200g of 64% alcohol. We have a sufficient amount of 80% and 45% alcohol. How many of which will we need?

Correct answer:

a =  108.5714
b =  91.4286

Step-by-step explanation:


a+b = 200
0.80 a + 0.45 b = 0.64 · 200

a+b = 200
0.80·a + 0.45·b = 0.64 · 200

a+b = 200
0.8a+0.45b = 128

Row 2 - 0.8 · Row 1 → Row 2
a+b = 200
-0.35b = -32


b = -32/-0.35 = 91.42857143
a = 200-b = 200-91.42857143 = 108.57142857

a = 760/7 ≈ 108.571429
b = 640/7 ≈ 91.428571

Our linear equations calculator calculates it.



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