Answer:
400 liters of orange punch and 100 liters of mango punch are required to create a mixture with 40% juice.
Step-by-step explanation:
Given that the orange punch has 45% juice and the mango punch has 20% juice, if you want to create a mixture of 500 liters of fruit punch that has 40% juice, to determine the percentage of punch of each fruit to be used, the following calculation must be performed:
45 x 1 + 20 x 0 = 45
45 x 0.9 + 20 x 0.1 = 42.5
45 x 0.8 + 20 x 0.2 = 40
Therefore, it takes 80% orange punch and 20% mango punch to create a mixture with 40% juice. Thus, since 500 x 0.8 equals 400, 400 liters of orange punch and 100 liters of mango punch are required to create a mixture with 40% juice.
