SOLUTION: 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

Question 1170828: 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. *

Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
Let x = the number of liters of orange punch in the fruit punch.
Then the number of liters of mango is 500 - x
The number of liters of orange + mango juice is
0.45x + 0.2(500 - x), and this must equal the number of liters
in the fruit punch, which is 0.4*500
0.45x + 100 - 0.2x = 200
0.25x = 100 -> x = 400 L

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