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?

Step-by-step explanation:

step one:

given data

orange punch is 45% juice and

mango punch is 20% juice.

amount of fruit punch to be made is

500 L of a fruit punch that is 40% juice.

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

solve for x

0.45x-0.2x+100-200=0

0.25x-100=0

0.25x = 100

x=100/0.25

x = 400 L

400 L of orange punch

answer is x<