An orange drink is made by mixing water and orange concentrate in a ratio of 5:1.
1.How much is mixed with 6litres of orange concentrate?
2. How much orange concentrate is in 24 litres of orange drink?
1. To find out how much water is mixed with 6 liters of orange concentrate, we need to determine the amount of water in the ratio.
In a 5:1 ratio, the total parts are 5 + 1 = 6.
Since the ratio is 5:1, the amount of water is 5/6 of the total mixture.
Therefore, the amount of water mixed with 6 liters of orange concentrate is (5/6) * 6 = 5 liters.
2. To find out how much orange concentrate is in 24 liters of orange drink, we need to determine the amount of concentrate in the ratio.
In a 5:1 ratio, the total parts are 5 + 1 = 6.
Since the ratio is 5:1, the amount of concentrate is 1/6 of the total mixture.
Therefore, the amount of orange concentrate in 24 liters of orange drink is (1/6) * 24 = 4 liters.
To answer your questions, let's break them down step-by-step.
1. How much water is mixed with 6 litres of orange concentrate?
- The ratio of water to orange concentrate is 5:1.
- This means for every 5 parts of water, there is 1 part of orange concentrate.
- To find the amount of water needed, we need to divide the total volume (6 litres) by the sum of the ratio's parts (5 + 1 = 6 parts).
- So, we divide 6 litres by 6 parts: 6 litres ÷ 6 = 1 litre.
- Therefore, 1 litre of water should be mixed with 6 litres of orange concentrate.
2. How much orange concentrate is in 24 litres of orange drink?
- The ratio of water to orange concentrate is 5:1, which means for every 5 parts of water, there is 1 part of orange concentrate.
- To find the amount of orange concentrate in 24 litres of orange drink, we need to multiply the volume of the drink by the fraction representing the ratio of orange concentrate to the total parts.
- Total parts in the ratio = 5 parts + 1 part = 6 parts.
- Fraction of orange concentrate in the ratio = 1 part / 6 parts = 1/6.
- Multiply the volume of the drink (24 litres) by the fraction 1/6: 24 litres × 1/6 = 4 litres.
- Therefore, there are 4 litres of orange concentrate in 24 litres of orange drink.