SOLUTION: A nurse has a solution that is 25% alcohol and another that is 50% alcohol. How much if the 25% alcohol must she use to make 20 L of a solution that is 40% alcohol?
Algebra.Com
Question 433417: A nurse has a solution that is 25% alcohol and another that is 50% alcohol. How much if the 25% alcohol must she use to make 20 L of a solution that is 40% alcohol?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A nurse has a solution that is 25% alcohol and another that is 50% alcohol. How much of the 25% alcohol must she use to make 20 L of a solution that is 40% alcohol?
---------------------------
Two-variable solution:
Quantity Eq: t + f = 20 L
Alcohol Eq:0.25t+0.50f = 0.40*20
--------------------------------------
Multiply thru Quantity by 50
Multiply thru Alcohol by 100
--------------------------------------
50t + 50f = 50*20
25t + 50f = 40*20
------------------------
Subtract and solve for "t":
25t = 10*20
t = 8 L (amt. of 25% solution needed)
==================
Cheers,
Stan H.
============
RELATED QUESTIONS
A nurse has a solution that is 25% alcohol and another that is 50% alcohol. How much of... (answered by stanbon,Alan3354)
nurse has a solution that is 25% alcohol and another that is 50% alcohol. how much of... (answered by ptaylor)
A nurse has 1 liter of a solution that is 10% alcohol. How much pure alcohol must she add (answered by josmiceli)
Use two equations in two variables to solve the application.
A nurse has a solution... (answered by Alan3354)
A nurse has 1 liter of a solution that is 20% alcohol. How much pure alcohol must she add (answered by Alan3354)
A chemist has one solution that is 25% alcohol and another that is 75% alcohol. How much... (answered by nerdybill,NSL1226)
A nurse has 1 liter of a solution that is 20% alcohol. How much pure alchol must she add... (answered by stanbon)
A chemist has one solution that is 40% alcohol and another that is 55% alcohol. How much... (answered by dabanfield)
A chemist has one solution that is 60% alcohol and another that is 35% alcohol. How much... (answered by stanbon)