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?
1 / 5 = 3 / w ... w = ?
k + 5k = 24 ... 6 k = 24 ... k = ?
To find out how much water is mixed with 3 litres of orange juice, we need to set up the ratio.
The ratio of orange juice to water is 1:5. This means that for every 1 part of orange juice, there are 5 parts of water.
So, for 3 litres of orange juice, the amount of water needed can be found using the ratio:
(3 litres) / (1 part of orange juice) * (5 parts of water) = 15 litres of water
Therefore, 15 litres of water is mixed with 3 litres of orange juice.
To find out how much water is in 24 litres of orange drink, we again use the ratio of 1:5.
(24 litres of orange drink) / (1 part of orange juice + 5 parts of water) * (5 parts of water) = 20 litres of water
Therefore, there are 20 litres of water in 24 litres of orange drink.
To find the amount of water mixed with orange juice, you need to determine the ratio between the two ingredients.
In this case, the ratio of orange juice to water is given as 1:5. This means that for every 1 unit of orange juice, there are 5 units of water.
Let's solve the two given problems step by step:
1. How much water is mixed with 3 litres of orange juice?
Since the ratio of orange juice to water is 1:5, you need to find 5 units of water for 1 unit of orange juice. In this scenario, 1 unit of orange juice is equivalent to 3 liters.
To find the amount of water, you can set up a proportion:
1 unit of orange juice / 3 liters = 5 units of water / x liters
Cross multiplying the proportion, you get:
1 * x = 3 * 5
x = 15 liters
Therefore, 15 liters of water should be mixed with 3 liters of orange juice.
2. How much water is in 24 litres of orange drink?
To determine the amount of water in 24 liters of orange drink, you need to consider the same 1:5 ratio of orange juice to water.
Using the ratio, you can set up another proportion:
1 unit of orange juice / x liters = 5 units of water / 24 liters
Cross multiplying the equation:
1 * 24 = 5 * x
24 = 5x
x = 24 / 5
x ≈ 4.8 liters
Therefore, approximately 4.8 liters of water are present in 24 liters of orange drink.