SOLUTION: A solution of 81% bleach is to be mixed with a solution of 96% bleach to make 135 L of a 87% solution. How many liters of the 81% solution must be used?

Question 1092257:
A solution of 81%
bleach is to be mixed with a solution of 96% bleach to make 135 L of a 87% solution. How many liters of the 81% solution must be used?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = liters of 81% solution needed
Let = liters of 96% solution needed
----------------------------------------
(1)
(2)
----------------------------------------
(2)
(2)
(2)
Multiply both sides of (1) by and
subtract (1) from (2)
(2)
(1)
---------------------------

and
(1)
(1)
------------------------
81 liters of 81% solution are needed
54 liters of 96% solution are needed
----------------------------------
check:
(2)
(2)
(2)
(2)
(2)
OK
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