SOLUTION: A hospital staff mixed a 75% disinfectant solution with a 25% disinfectant solution. How many liters of each were used to make 25L of a 35% disinfectant solution?

Question 755841: A hospital staff mixed a 75% disinfectant solution with a 25% disinfectant solution. How many liters of each were used to make 25L of a 35% disinfectant solution?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = liters of 75% solution needed
Let = liters of 25% solution needed
= liters of disinfectant in 75% solution
= liters of disinfectant in 25% solution
-------------------
given:
(1)
(2)
-----------------------------
(2)
(2)
(2)
Multiply both sides of (1) by and
subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
5 liters of 75% solution are needed
20 liters of 25% solution are needed
check:
(2)
(2)
(2)
(2)
(2)
OK
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