Initial Solution Details
The initial solution has a volume of 360 ml and contains 40% alcohol.
Calculate Initial Alcohol Amount
The amount of pure alcohol in the initial solution is:
Amount of Alcohol = 40% of 360 ml
$ \text{Amount of Alcohol} = 0.40 \times 360 \, \text{ml} = 144 \, \text{ml} $
Calculate New Total Volume
Water is added to the solution. The volume of added water is 3600 ml.
The new total volume is the initial volume plus the added water:
$ \text{New Volume} = 360 \, \text{ml} + 3600 \, \text{ml} = 3960 \, \text{ml} $
Calculate New Alcohol Percentage
The amount of alcohol remains the same (144 ml), but the total volume has increased.
The new percentage of alcohol is calculated as:
$ \text{New Percentage} = \left( \frac{\text{Amount of Alcohol}}{\text{New Volume}} \right) \times 100\% $
$ \text{New Percentage} = \left( \frac{144 \, \text{ml}}{3960 \, \text{ml}} \right) \times 100\% $
$ \text{New Percentage} \approx 0.03636 \times 100\% \approx 3.636\% $
Approximate Final Percentage
The approximate percentage of alcohol in the new solution is 3.6%.
Important Questions from Mixture Problems (Notes)
- A has a container containing 60 litres of pure milk. He takes out 4 litres of milk and replaces it with the same quantity of water. He sells this mixture to B. B sells 30 litres of the mixture and added 5 litres of water in the remaining mixture. The ratio of milk to water in the remaining mixture is:
- How many liters of water should be added to a 30-liter mixture containing milk and water in the ratio 7:3 such that the resultant mixture has 40% water in it?
- A $595$ litre of mixture contains milk and water in the ratio $17:18$. How much milk must be added to the mixture so that it contains milk and water in the proportion of $3:2$?
- Alloy A is formed by mixing iron (Fe) and nickel (Ni) in the ratio 3:4, while alloy B is formed by mixing Fe and Ni in the ratio 9:5. If equal quantities of alloys A and B are melted together to form a new alloy C, what will be the ratio of Fe to Ni in the alloy C?
Suppose a tap mixes hot water and cold water in a ratio that depends linearly on the proportion of opening. Water out of the tap has temperature 40°C when the tap is half-open, and 30°C when it is three-fourths open. To get water at 50°C, the tap should be_______________.
