6​. For his birthday party, Perry mixed together 3 gallons of Jackson’s fruit punch,

and 2 gallons of Bonanza’s fruit punch. Jackson’s fruit punch contains 20% fruit

juice, and Bonanza’s fruit punch contains 55% fruit juice. What percent of the

mixture is pure fruit juice?

How much fruit juice is in each?

Jackson: 3 gallons x 0.20 = ?
Bonanza: 2 gallons x 0.55 = ?
Total = ?

% juice = (total juice/total gallons)*100 = ?

To find the percentage of pure fruit juice in the mixture, we need to calculate the total amount of fruit juice in the mixture and then express it as a percentage of the total volume.

Step 1: Calculate the amount of fruit juice in each type of fruit punch.
- Jackson's fruit punch contains 20% fruit juice, so 3 gallons * 20% = 0.6 gallons of fruit juice.
- Bonanza's fruit punch contains 55% fruit juice, so 2 gallons * 55% = 1.1 gallons of fruit juice.

Step 2: Calculate the total amount of fruit juice in the mixture.
- Add the amount of fruit juice from each type of fruit punch: 0.6 gallons + 1.1 gallons = 1.7 gallons of fruit juice.

Step 3: Calculate the total volume of the mixture.
- Add the volumes of each type of fruit punch: 3 gallons + 2 gallons = 5 gallons.

Step 4: Calculate the percentage of pure fruit juice in the mixture.
- Divide the amount of fruit juice in the mixture by the total volume of the mixture and multiply by 100 to get the percentage: (1.7 gallons / 5 gallons) * 100 = 34%.

Therefore, the mixture is 34% pure fruit juice.