Solutions

How much is the 60% solution, and how much 35% solution needed to create 100 l of the 40% solution?

Correct answer:

A =  20 l
B =  80 l

Step-by-step explanation:

p1​=60%=10060​=53​=0.6 p2​=35%=10035​=207​=0.35 p3​=40%=10040​=52​=0.4  V=100 l  A+B=V A⋅ p1​+B⋅ p2​=V⋅ p3​ A+B=100 A⋅ 0.6+B⋅ 0.35=100⋅ 0.4  A+B=100 0.6A+0.35B=40  Row2−0.6⋅ Row1→Row2 A+B=100 −0.25B=−20  B=−0.25−20​=80 A=100−B=100−80=20=20 l  A=20 B=80

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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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