Spirit

From 55% and 80% spirit, we would like to produce 0.2 kg of 60% spirit. How many of them must we use in a solution?

Final Answer:

a =  0.16 kg
b =  0.04 kg

Step-by-step explanation:

c1​=55%=10055​=2011​=0.55 c2​=80%=10080​=54​=0.8 m=0.2 kg c3​=60%=10060​=53​=0.6  a+b = m c1​ a + c2​ b = c3​ ⋅  m  c1​ a+c2​⋅ (m−a)=c3​⋅ m 0.55 a+0.8⋅ (0.2−a)=0.6⋅ 0.2  0.55⋅ a+0.8⋅ (0.2−a)=0.6⋅ 0.2  0.25a=0.04  a=0.250.04​=0.16  a=254​=0.16=0.16 kg
b=m−a=0.2−0.16=0.04 kg

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