Question

Steve makes some orange drink for the sports day. He mixes 1 part of cordial to 5 parts of water. He needs to make 24 litres of orange drink. Steve thinks he needs to use 6 litres of cordial.

Answer 1

Steve does not need to use 6 litres of cordial. Steve needs 4 litres of cordial to make 24 litres of orange drink.

Step-by-step explanation:

Steve's orange drink recipe involves mixing 1 part cordial with 5 parts water, resulting in a total of 6 parts. To find the amount of cordial needed for 24 litres of the drink, we divide the total number of parts (24) by the number of parts of cordial in the mixture (6).

`\[ (24)/(6) = 4 \]`

So, Steve actually needs 4 litres of cordial, not 6. The reason is that each part of cordial is accompanied by 5 parts of water, making a total of 6 parts for the entire mixture. Therefore, the correct calculation is 24 litres / 6 parts = 4 litres of cordial needed.

This ratio of 1:5 (cordial to water) means that for every 1 part of cordial, there are 5 parts of water. Multiplying the 4 litres of cordial by 5 gives us the amount of water:

`\[ 4 \text{ litres} * 5 = 20 \text{ litres} \]`

Adding the cordial and water amounts together, we get the total volume of the orange drink:

`\[ 4 \text{ litres} + 20 \text{ litres} = 24 \text{ litres} \]`

This confirms that Steve needs 4 litres of cordial and 20 litres of water to make a total of 24 litres of orange drink, adhering to his 1:5 cordial-to-water ratio.