SOLUTION: How many gallons of a 3.6% salt solution must be mixed with a 7% salt solution to obtain 25 gallons of a 4.5% salt solution
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Question 752248: How many gallons of a 3.6% salt solution must be mixed with a 7% salt solution to obtain 25 gallons of a 4.5% salt solution
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = gallons of 3.6% solution needed
Let = gallons of 7% solution needed
= gallons of salt in 3.6% solution
= gallons of salt in 7% solution
------------------------------------
(1)
(2)
-------------------------------
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
and
(1)
(1)
18.382 gallons of 3.6% solution are needed
6.618 gallons of 7% solution are needed
-----------------
check:
(2)
(2)
(2)
(2)
(2)
close enough
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