A mixture contains milk and water in the ratio 5:3. If 48 liters of water is added, the ratio becomes 5:5. Find the initial quantity of milk.
120 liters
Let milk = 5x and water = 3x litres. Adding 48 litres of water gives a new ratio of 5:5, meaning new water equals milk.
\(5x = 3x+48 \Rightarrow 2x=48 \Rightarrow x=24\).
Initial quantity of milk: \(5\times24 = 120\) litres.
Hence, the initial quantity of milk is 120 litres.
My father is presently 25 years older than me. The sum of our ages 5 years ago was 39 years. Find my present age.
Rice worth ₹43/kg and ₹67/kg are mixed with a third variety in the ratio 2 : 1 : 5. If the mixture is worth ₹96/kg, the price (in ₹) of the third variety of rice per kg will be:
42 litres of milk at ₹25 per litre is mixed with 28 litres of milk at ₹40 per litre. Find the average price of the mixture.
15 kg of ₹10 per kg wheat is mixed with 5 kg of another type of wheat to get a mixture costing ₹30 per kg. Find the price (per kg) of the costlier wheat.
If a + b + c = 0, then the value of (a² + b² + 2ab) is equal to: