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 a⋅60+b⋅35=100⋅40  a+b=100 60⋅a+35⋅b=4000  b=100−a 60⋅a+35(100−a)=4000 60⋅a+3500−35⋅a=4000 a=(4000−3500)/(60−35)  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=100−a=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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