SOLUTION: A 40% salt solution is to be mixed with a 60% salt solution to obtain 100 gallons of a 45% salt solution. How much of each solution must be used?

Question 344176: A 40% salt solution is to be mixed with a 60% salt solution to obtain 100 gallons of a 45% salt solution. How much of each solution must be used?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
In words:
(amount of salt in final solution)/(total gallons of final solution)
=45%
Let = gallons of 40% solution
Let = gallons of 60% solution
given:
Amount of salt in 40% solution =
Amount of salt in 60% solution =
(1)
(2)
(2)
(2)
Multiply both sides of (1) by and
subtract (1) from (2)
(2)
(1)

gallons
And, from (1)

75 gallons of 40% solution and 25 gallons of 60% solution must be used
check answer:

OK
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