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This is an algebra problem. There will be 2 equations and 2 unknowns.

Let x = amount of 7% solution, and y = amount of 19% solution.

.07x + .19y = .15*456.

x + y = 456; or x = 456-y which will substitute into the first equation.

.07(456-y) +.19y = .15*456.

31.92-.07y+.19y = 68.4.

.12y = 36.48.

y = 304L (amount of 19% solution to add).

x = 456-y.

x = 456 - 304.

x = 152L (amount of 7% solution to add).

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Q: How many liters of a 7 percent solution of salt should be added to a 19 percent solution in order to obtain 456 liters of a 15 percent solution?
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