Alcohol mixing

How much 55% alcohol do we need to add to 2 liters of 80% alcohol to produce 60% alcohol? How much is 60% of alcohol made?

Final Answer:

a =  8 l
b =  10 l

Step-by-step explanation:

c1​=55%=10055​=2011​=0.55 c2​=80%=10080​=54​=0.8 c3​=60%=10060​=53​=0.6 V2​=2 l  c1​⋅ a+c2​⋅ V2​=c3​⋅ (a+V2​) 0.55⋅ a+0.8⋅ 2=0.6⋅ (a+2)  0.05a=0.4  a=0.050.4​=8  a=8=8 l
b=V2​+a=2+8=10 l

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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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