Answer:
[tex]7.5\ L[/tex]
Step-by-step explanation:
Let
x ----> liters of a 40% sugar solution
Remember that
[tex]40\%=40/100=0.40[/tex]
[tex]60\%=60/100=0.60[/tex]
[tex]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[/tex]
[tex]0.56x-0.40x=18-16.8[/tex]
[tex]0.16x=1.2[/tex]
[tex]x=7.5\ L[/tex]
