Answer
There is 23 percent of salt in the resulting solution.
Work Step by Step
Let X represent the amount of salt in the resulting solution.
Since the first solution is 20 gallons\ and the second solution is 30 gallons, the resulting solution will be 20 + 30 = 50 gallons.
To find X, the amount of salt in the resulting solution, we use the following guideline:
Amount of salt in the first solution + amount of salt in the second solution = Amount of salt in the final solution.
20% $\times$ 20 + 25% $\times$ 30 = X
$ .2 \times 20 + .25 \times 30 =X$
4 + 7.5 = X
X = 11.5
There are 11.5 gallons of salt in the 50 gallons solution.
Since we need to calculate the percentage of salt, we proceed:
$\frac{11.5}{50}$ $\times$ 100% =
23%
