Prepare 7666

We want to prepare 200g of 64% alcohol. We have enough 80% alcohol to dilute with water. How much 80% of alcohol and how much water will we need?

Correct answer:

a =  160 g
b =  40 g

Step-by-step explanation:


a+b = 200
0.80a = 0.64·(a+b)

a+b = 200
0.80·a = 0.64·(a+b)

a+b = 200
0.16a-0.64b = 0

Row 2 - 0.16 · Row 1 → Row 2
a+b = 200
-0.8b = -32


b = -32/-0.8 = 40
a = 200-b = 200-40 = 160

a = 160
b = 40

Our linear equations calculator calculates it.
b=40=40 g



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