Solutions

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

Result

60% =  20 l
35% =  80 l

Solution:

a+b=100 a(60/100)+b(35/100)=100(40/100)  a+b=100 a60+b35=10040  a+b=100 60a+35b=4000  b=100a 60a+35(100a)=4000 60a+350035a=4000 a=(40003500)/(6035)  a=20 la+b = 100 \ \\ a\cdot (60/100)+b\cdot (35/100)=100\cdot (40/100) \ \\ \ \\ a+b = 100 \ \\ a\cdot 60+b\cdot 35=100\cdot 40 \ \\ \ \\ a+b = 100 \ \\ 60\cdot a+35\cdot b=4000 \ \\ \ \\ b = 100-a \ \\ 60\cdot a+35(100-a) = 4000 \ \\ 60\cdot a+3500-35\cdot a = 4000 \ \\ a = (4000-3500)/(60-35) \ \\ \ \\ a = 20 \ \text{l}
b=100a=80 lb = 100-a = 80 \ \text{l}

a+b = 100
a*(60/100)+b*(35/100)=100*(40/100)

a+b = 100
60a+35b = 4000

a = 20
b = 80

Calculated by our linear equations calculator.



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