Answer:
7.5 liters of a 40% sugar solution
Step-by-step explanation:
Let
x ----> liters of a 40% sugar solution
Remember that
[tex]40\%=40/100=0.40\\60\%=60/100=0.60\\56\%=56/100=0.56[/tex]
we know that
The amount of liters of a 40% sugar solution (x) multiplied by 0.40 plus the amount of liters of a 60% sugar solution (30 L) multiplied by 0.60 must be equal to the total amount of liters mixed (x+30) multiplied by 0.56
[tex]0.40x+0.60(30)=0.56(x+30)[/tex]
solve for x
[tex]0.40x+18=0.56x+16.8\\0.56x-0.40x=18-16.8\\0.16x=1.2\\x=7.5\ L[/tex]
Answer
7.5 liters
Step-by-step explanation:
We need to make an equation.
40%, x liters
60%, 30 liters
=56%
0.40(x) + 0.60 (30) = 0.56 (x + 30)
0.40x + 18 = 0.56x + 16.8
18 - 16.8 = 0.56x - 0.40x
1.2 = 0.16x
7.5 = x
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