SOLUTION: Mix a solution that is 50%alcohol with a solution that is 10% alcohol to make 300 L of a solution that is 30% alcohol. How much of each should you use?

Question 66435: Mix a solution that is 50%alcohol with a solution that is 10% alcohol to make 300 L of a solution that is 30% alcohol. How much of each should you use?
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Mix a solution that is 50%alcohol with a solution that is 10% alcohol to make 300 L of a solution that is 30% alcohol. How much of each should you use?
Let x=amount of 50% alcohol
Then 300-x=amount of 10% alcohol
Now we know that the amount of pure alcohol in the 50% solution (.50)(x) plus the amount of pure alcohol in the 10% solution (.10)(300-x) has to equal the amount of pure alcohol in the final solution (300)(.30). So our equation to solve is:
(.50)(x)+(.10)(300-x)=(300)(.30) simplifying, we get:
.5x+30-.1x=90 subtract 30 from both sides:
.4x=90-30=60
x=150 Liters of 50% alcohol
300-x=300-150=150 liters of 10% alcohol
Ck
150(.1)+150(.5)=300(.3)
15+75=90
90=90
Hope this helps----ptaylor

RELATED QUESTIONS
Solution A is 10% alcohol, solution B is 60% alcohol.How much of each is needed to make... (answered by checkley71)

Mix a solution that is 30% alcohol with a solution that is 80% alcohol to make 800mL of a (answered by ptaylor)

Mix a solution that is 30% alcohol with a solution that is 80% alcohol to make 800 mL of... (answered by checkley77)

How much of a 40% alcohol solution must be mixed with 50 gallons of an 18% alcohol... (answered by richwmiller)

Mix a solution that is 40% alcohol with a solution that is 10% alcohol to make 225 mL of... (answered by rwm)

A nurse has a solution that is 25% alcohol and another that is 50% alcohol. How much if... (answered by stanbon)

Solution A is 20% alcohol, and solution B is 70% alcohol. How much of each is needed to... (answered by venugopalramana)

solution A is 20% alcohol, and solution B is 70% alcohol. how much of each is needed to... (answered by josgarithmetic)

a chemist has two alcohol-in-water: a 20% alcohol solution and a 50% alcohol solution. He (answered by lwsshak3)