For her birthday party kathryn mixed together 8 gal. of brand a fruit punch and 6 gal. of apple juice. if brand a contains 30% fruit juice, then what percent of the final mixture is fruit juice?

The answer if 17.14%.

Step-by-step explanation:

So the total number of gallons is 14. First we have to find the percentage of the juice that was the brand fruit punch. So we do 8 divided by 14 to get 57.14% of the total gallons is brand juice. Now we have to write the equation x/57.14=30/100. We write this because we nee to find 30 percent of 57.14% from the total number of gallons. We can cross multiply, 57.14*30=17.1428571. Then we do 17.1428571/100 to get 0.171428571. We move the decimal two places to the right and we get 17.14%.