SOLUTION: i need help with this. A 45% salt solution was mixed with a 75% salt solution to produce 15 kilograms of solution that was 67% salt. how much of each solution was used?

Question 705073: i need help with this. A 45% salt solution was mixed with a 75% salt solution to produce 15 kilograms of solution that was 67% salt. how much of each solution was used?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = kg of 45% salt solution needed
Let = kg of 75% salt solution needed
given:
(1)
(2)
-----------------------------
(2)
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and,, since
(1)
(1)
(1)
4 kg of 45% salt solution is needed
11 kg of 75% salt solution is needed
check:
(2)
(2)
(2)
(2)
(2)
(2)
OK

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