How many liters of a 40% sugar solution must be mixed with 30 liters of a 60% sugar solution to make a 56 % sugar solution?

7.5 liters of a 40% sugar solution

Step-by-step explanation:

Let

x ----> liters of a 40% sugar solution

Remember that

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

solve for x

the answer would be a 24

step-by-step explanation:

c=2πr=2·π·3=24