SOLUTION: a car radiator contains 10 liters of a 30 percent anti freeze solution how many liters would have to be replaced with pure antifreeze if the resulting is to contain 50 percent?

Question 158680: a car radiator contains 10 liters of a 30 percent anti freeze solution how many liters would have to be replaced with pure antifreeze if the resulting is to contain 50 percent?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
a car radiator contains 10 liters of a 30 percent anti freeze solution how many liters would have to be replaced with pure antifreeze if the resulting is to contain 50 percent?
:
Let x = amt to be replaced by pure antifreeze
;
.30(10-x) + 1.0x = .50(10)
:
3 - .3x + 1.0x = 5
:
+.7x = 5 - 3
x =
x = 2.857 liters to be replaced
;
:
Check:
.3(10-2.857) + 2.857 = .5(10)
.3(7.143) + 2.857 = 5
2.1429 + 2.857 = 4.9999 ~ 5
RELATED QUESTIONS
A Radiator has 10L of 30% Fluid (30% Anti Freeze and 70% Water). How many liters need to (answered by gonzo)

A car radiator contains 30 quarts of 50% anti freeze. how many quarts should be drained... (answered by ankor@dixie-net.com)

Can you help me answer this: A car radiator contains 10 liters of 30% solution. How many (answered by chessace)

A car radiator contains 10 liters of a 20 percent antifreeze solution. How many liters... (answered by stanbon)

A radiator contains 25 quarts of water and anti-freeze solution, of which 60% (by volume) (answered by stanbon)

A car radiator contains 10 liters of a 30% antifreeze solution. How many liters will have (answered by nerdybill)

A car radiator has a capacity of 16 quarts and is filled with a 25% Anti-freeze solution. (answered by ankor@dixie-net.com)

A radiator holds 6 quarts of fluid. if the current mixture contains 30% anti-freeze, how... (answered by josgarithmetic,MathTherapy)

a car radiator containes 10 liters of a 30% antifreeze solution. how many liters will... (answered by stanbon)