Solution

What amount of 80% solution and water is needed to mix to obtain two liters of 60% solution of this mixture?

Final Answer:

a =  1.5
b =  0.5

Step-by-step explanation:


a+b=2
0.8 a = 0.60 (a+b)

a+b=2
0.8·a = 0.60·(a+b)

a+b = 2
0.2a-0.6b = 0

Row 2 - 0.2 · Row 1 → Row 2
a+b = 2
-0.8b = -0.4


b = -0.4/-0.8 = 0.5
a = 2-b = 2-0.5 = 1.5

a = 3/2 = 1.5
b = 1/2 = 0.5

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You need to know the following knowledge to solve this word math problem:

algebrabasic operations and conceptsUnits of physical quantitiesthemes, topicsGrade of the word problem

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