An orange punch is 45% juice and a mango punch is 20% juice. By combining the two, a company is making 500 L of a fruit punch that is 40% juice. How many liters of orange punch are needed for the company’s concoction? Make sure to include units. PLEASE FAST. AND SHOW WORK

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.

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