Answer
There will be 26% orange juice in the resulting mixture.
Work Step by Step
Let X represent the amount of orange juice in the resulting mixture. The amount of punch in the resulting mixture will be 20 + 30 = 50 ounces.
We use the following guideline to solve this problem:
Amount of orange juice in the first solution + amount of orange juice in the second solution = Amount of orange juice in the final solution.
In 20 ounces of a punch containing 20% orange juice, there is 20% $\times$ 20 = 4 ounces of orange juice.
In 30 ounces of a punch containing 30% orange juice, there is 30% $\times$ 30 = 9 ounces of orange juice.
In the resulting mixture, there will be 4 + 9 = 13 ounces of orange juice. The total amount of punch in the resulting mixture will be 50 ounces. So, we calculate the percentage of orange juice in this punch.
$\frac{13}{50}$ $\times$ 100% = 0.26 $\times$ 100% = 26%
There will be 26% orange juice in the resulting mixture.
