SOLUTION: A chemist needs 7 liters of a 50% salt solution. All she has is a 20% salt solution and a 70% salt solution. How much of each of the two solutions should she mix to obtain her de
Algebra ->
Customizable Word Problem Solvers
-> Mixtures
-> SOLUTION: A chemist needs 7 liters of a 50% salt solution. All she has is a 20% salt solution and a 70% salt solution. How much of each of the two solutions should she mix to obtain her de
Log On
Question 662527: A chemist needs 7 liters of a 50% salt solution. All she has is a 20% salt solution and a 70% salt solution. How much of each of the two solutions should she mix to obtain her desired solution? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = liters of 20% solution needed
Let = liters of 70% solution needed
-----------
given:
(1)
(2)
------------------------
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
and, since
(1)
(1)
(1)
(1)
(1)
2.8 liters of 20% solution is needed
4.2 liters of 70% solution is needed
check:
(2)
(2)
(2)
(2)
(2)
(2)
OK
