Question

How many gallons of a 12% salt solution should a biologist add to 5 gallons of a 15% salt solution to get a 14% solution?

Answer 1

The volume of the 12% salt solution to be added is; 2.5 gallons.

Ratio and Proportion of Volume

Let the volume of 12% required be x and the new volume of the mixture be (x+5).

On this note, it follows that;

• 12x + 15(5) = 14(5+x)

• 12x + 75 = 70 + 14x.

Hence, -2x = -5

Divide both side by -2;

• x = -5/-2

x = 2.5 gallons.

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