SOLUTION: A solution that is 50% alcohol is mixed with a solution that is 40% alcohol in order to make
50 liters of a solution that is 46% alcohol. How many liters of
Algebra.Com
Question 880752: A solution that is 50% alcohol is mixed with a solution that is 40% alcohol in order to make
50 liters of a solution that is 46% alcohol. How many liters of the 40% solution and how
many liters of the 50% solution should be used?
Found 2 solutions by mananth, josmiceli:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
percent ---------------- quantity
alcohol I 40.00% ---------------- x liters
alcohol ii 50.00% ------ 50 - x liters
Mixture 46.00% ---------------- 50
Total 50 liters
40.00% x + 50.00% ( 50 - x ) = 46.00% * 50
40 x + 50 ( 50 - x ) = 2300
40 x + 2500 - 50 x = 2300
40 x - 50 x = 2300 - -2500
-10 x = -200
/ -10
x = 20 liters 40.00% alcohol I
30 liters 50.00% alcohol ii
m.ananth@hotmail.ca
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = liters of 50% solution needed
Let = liters of 40% solution needed
----------------------------------------------
(1)
(2)
-------------------------------------
(2)
(2)
(2)
---------------------------
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
and, since
(1)
(1)
30 liters of 50% solution is needed
20 liters of 40% solution is needed
check:
(2)
(2)
(2)
(2)
OK
RELATED QUESTIONS
Solution A is 80% Alcohol and Solution B is 50% Alcohol. How many Liters of each... (answered by scott8148)
One solution of alcohol is 30% and a second is 60% alcohol. How much of each should be... (answered by jorel1380,josgarithmetic)
Two liters of 40% alcohol are mixed with 4 liters of another alcohol to form a 50 %... (answered by fractalier)
How much of a 40% alcohol solution must be mixed with 50 gallons of an 18% alcohol... (answered by richwmiller)
solution A is 20% alcohol, and solution B is 70% alcohol. how much of each is needed to... (answered by josgarithmetic)
Suppose that one solution is 50% alcohol and another solution is 80% alcohol. HOw many... (answered by checkley71)
a solution containing 40% alcohol is to be mixed with a solution containing 75% alcohol. (answered by checkley77)
How many gallons of a 50% alcohol solution must be mixed with 80 gallons of a 14%... (answered by richwmiller)
How many liters of a 20%-alcohol solution must be mixed with 50 liters of a solution that (answered by josgarithmetic)