An orange drink is made by mixing orange juice and water in the ratio 1:5. How much water is mixed with 3 litres of orange juice. How much water is in 24 litres of orange drink?
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That IS the solution
1:5 = 3:15
So, 15 parts water for 3 parts juice.
Three times as much juice, so 3 times as much water
4:20 means you have 24 parts of mixed drink.
4 juice, 20 water
To find out how much water is mixed with 3 litres of orange juice, we need to determine the total amount of the orange drink.
Let's assume the quantity of water mixed with 3 litres of orange juice is represented by "w" liters. According to the given ratio of orange juice to water (1:5), the total volume of the orange drink would be the sum of the orange juice and water.
Orange juice quantity: 3 liters
Water quantity: w liters
The ratio tells us that the orange drink consists of 1 part orange juice and 5 parts water. So, the total parts in the orange drink would be 1 + 5 = 6.
Now, we can set up a proportion using the orange juice quantity and the total parts:
3 liters / (1 part) = total volume / (6 parts)
Simplifying the proportion, we get:
3 / 1 = total volume / 6
Cross-multiplying, we get:
3 * 6 = 1 * total volume
18 = total volume
Therefore, the total amount of orange drink (orange juice + water) is 18 liters. Since we know that the orange juice is 3 liters, we can calculate the amount of water by subtracting the orange juice quantity from the total amount of the orange drink:
Amount of water = Total amount of orange drink - Orange juice quantity
= 18 liters - 3 liters
= 15 liters
So, 15 liters of water is mixed with 3 liters of orange juice to make the orange drink.
Now, to determine the amount of water in 24 liters of orange drink, we can use the same ratio.
Total quantity of orange drink: 24 liters
Orange juice quantity: w liters (unknown)
Using the ratio 1:5, the total parts in the orange drink would be 1 + 5 = 6.
Setting up a proportion:
w / (1 part) = 24 liters / (6 parts)
Simplifying the proportion:
w = (24 liters * 1 part) / 6
w = 4 liters
Therefore, in 24 liters of orange drink, there would be 4 liters of water mixed with the orange juice.