SOLUTION: How much pure water must be mixed with 2 liters of a 40% solution of antifreeze to get a 25% anitfreeze solution?

Algebra.Com
Question 132499This question is from textbook Holt Algebra 1
: How much pure water must be mixed with 2 liters of a 40% solution of antifreeze to get a 25% anitfreeze solution? This question is from textbook Holt Algebra 1

Found 2 solutions by checkley71, stanbon:
Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!
2*.4=.25(x+2)
.8=.25x+.5
.25x=.8-.5
.25x=.3
x=.3/.25
x=1.2 liters of pure water is needed.
proof
.2*.4=.25(1.2+2)
.8=.25*3.2
.8=.8

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
How much pure water must be mixed with 2 liters of a 40% solution of antifreeze to get a 25% antifreeze solution?
---------------
40% solution DATA:
Amt. = 2 liters ; amt. of active ingredient = 0.4*2 = 0.8 liters
----------------
Pure water DATA:
Amt. = x liters ; amt of active ingredient = 0*x = 0 liters
-----------------
Mixture DATA:
Amt. = (2+x) liters ; amt of active = 0.25(2+x) = 0.5+0.25x liters
--------------------
EQUATION:
active + active = active
0.8 + 0 = 0.5+0.25x
0.3 = 0.25x
x = 1.2 liters ( amt. of water needed for the mixture )
---------------
Cheers,
Stan H.

RELATED QUESTIONS

how much pure water must be mixed with 2 liters 40% solution of antifreeze to get a 25% (answered by richwmiller)
How much pure water must be mixed with 2 liters of a 40% solution of antifreeze to get a... (answered by richwmiller)
how many gallons of a 80% anitfreeze solution must be mixed with 100 gallons of 25%... (answered by Fombitz)
A radiator contains 6 quarts of a 25% antifreeze solution. How much anitfreeze should be... (answered by ankor@dixie-net.com)
how many gallons of 50% antifreeze solution must be mixed with 80 gallons of 15%... (answered by nerdybill)
How many liters of pure antifreeze (100% solution) must be added to 30 liters of a 15%... (answered by stanbon)
Cheap Charlie is attempting to stretch his 2-liter bottle of antifreeze by diluting it... (answered by jorel1380)
how many gallons of a 60% antifreeze solution must be mixed with 90 gallons of 20%... (answered by Fombitz)
how many quarts of a 60 % anitfreeze solution and how many quarts of pure water should be (answered by Alan3354)