Question

The ratio of milk and water in a 30 litre mixture is 3 : 2. Find the quantity of water to be added to the mixture in order to make this ratio 1:1.

• A. 7
• B. 2
• C. 9
• D. 6

Answer 1

Answer:

D. 6

6 litres of water need to be added to the mixture.

1. Find the current amounts of milk and water:

   • Total parts = $3 + 2 = 5$ parts

   • Size of 1 part = $30 \text{ litres} \div 5 = 6 \text{ litres}$

   • Quantity of Milk = $3 \times 6 = 18 \text{ litres}$

   • Quantity of Water = $2 \times 6 = 12 \text{ litres}$

2. Determine the required water for a 1:1 ratio:

   • For the ratio to become 1:1, the quantity of water must equal the quantity of milk ($18 \text{ litres}$).

3. Calculate the water to be added:

   • $\text{Water to add} = 18 \text{ litres} - 12 \text{ litres} = 6 \text{ litres}$