SOLUTION: A chemist wants to make 40 liters of 22.5% acid solution. She is going to make it by mixing a 10% acid and a 30% acid solution. How many liters of each will she need?

Question 546395: A chemist wants to make 40 liters of 22.5% acid solution. She is going to make it by mixing a 10% acid and a 30% acid solution. How many liters of each will she need?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
A chemist wants to make 40 liters of 22.5% acid solution. She is going to make it by mixing a 10% acid and a 30% acid solution. How many liters of each will she need?
.
Let x = amount (liters) of 10% acid
then
40-x = amount (liters) of 30% acid
.
.10x + .30(40-x) = .225(40)
.10x + 12-.30x = 9
12-.20x = 9
12 = 9+.20x
3 = .20x
3/.20 = x
15 liters = x (amount of 10% acid)
.
Amount of 30% acid:
40-x = 40-15 = 25 liters

RELATED QUESTIONS
A chemist wants to make 75 liters of 16% acid solution. He is going to make it by mixing... (answered by ankor@dixie-net.com)

Can you please help me with this system of linear equations problem this needs to be... (answered by Alan3354)

A chemist wants to make 44 mL of a 16% acid solution by mixing a 10% acid solution and an (answered by mananth,stanbon)

A chemist wants to make 250 ml of 30% acid solution by mixing a 20% acid solution with a (answered by checkley77)

A chemist wishes to make 3 liters of a 7% acid solution by mixing a 9% acid solution and... (answered by Alan3354)

A chemist wishes to make 3 liters of a 7% acid solution by mixing a 9% acid solution and... (answered by TimothyLamb)

a chemist wants to make 150 ml. of a 30% acid solution by mixing a 26% acid solution with (answered by mananth)

A chemist wishes to make 2 L of an 8% acid solution by mixing a 10% acid solution and a... (answered by nerdybill)

please solve for x and y. mixture problem. 1.a chemist want to make 75 liters of... (answered by ankor@dixie-net.com)