At a school fair, a fifth-grade class sold 25 liters of orange juice. The orange juice was sold in cups containing 200 milliliters and 300 milliliters. An equal number of cups containing 200 milliliters and 300 milliliters were sold. How many cups of orange juice did the class sell?

The first Related Question has the answer to this problem. Reiny's post is the correct one.

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- Convert 25 L into 25000 mL

- Let x be the unknown number of cups.

- You will be able to find the number of cups with the equation:
200x +300x = 25000
500x = 25000
x = 50

The class sold 50 cups of orange juice.

50 cups each*

To find the total number of cups of orange juice sold by the fifth-grade class, you need to determine the number of cups sold containing 200 milliliters and the number of cups sold containing 300 milliliters.

Let's start by finding the number of cups containing 200 milliliters. Since an equal number of cups containing 200 milliliters and 300 milliliters were sold, we can assume that the number of cups containing 200 milliliters is equal to the number of cups containing 300 milliliters.

Let's represent the number of cups containing 200 milliliters as 'x'.

Since each cup contains 200 milliliters, the total volume of orange juice sold in cups containing 200 milliliters is 200x milliliters.

Now, let's find the number of cups containing 300 milliliters. Since an equal number of cups containing 300 milliliters were sold, the number of cups containing 300 milliliters is also 'x'.

Since each cup contains 300 milliliters, the total volume of orange juice sold in cups containing 300 milliliters is 300x milliliters.

Given that the total volume of orange juice sold is 25 liters, we can convert liters to milliliters. 1 liter is equal to 1000 milliliters, so 25 liters is equal to 25,000 milliliters.

Therefore, the equation is: 200x + 300x = 25,000.

Combining like terms, we get: 500x = 25,000.

Dividing both sides of the equation by 500, we find: x = 50.

So, the number of cups containing 200 milliliters and the number of cups containing 300 milliliters are both 50 cups.

Therefore, the fifth-grade class sold a total of 50 + 50 = 100 cups of orange juice.