A 24 litre bucket is full of lemonade.3 men wants to have equal amount of it to take home but they only have 13 litre, 5 litre and 11 litre bucket.how do will they do it?
bucket size: contents
24:24 13:0 11:0 5:0
24:11 13:13 11:0 5:0
24:11 13:8 11:0 5:5
24:11 13:0 11:8 5:5
24:11 13:5 11:8 5:0
24:3 13:13 11:8 5:0
24:3 13:8 11:8 5:5
24:8 13:8 11:8 5:0
what will be the answer
To divide the lemonade equally among the three men using their respective buckets (13 liters, 5 liters, and 11 liters), you need to follow these steps:
1. First, notice that the sum of the three buckets' capacities (13 + 5 + 11 = 29 liters) is greater than the total volume of the lemonade (24 liters). This means that it is not possible to divide the lemonade equally using the three buckets alone.
2. However, you can still achieve equal portions by combining the buckets strategically. Here's one way to do it:
- Fill the 13-liter bucket completely from the 24-liter bucket of lemonade.
- Pour the contents of the 13-liter bucket into the 5-liter bucket, until it is full. The remaining lemonade in the 13-liter bucket will now be 13 - 5 = 8 liters.
- Now, pour the contents of the 5-liter bucket back into the 24-liter bucket. Fill the 5-liter bucket again from the 24-liter bucket. The remaining lemonade in the 24-liter bucket will now be 24 - 5 = 19 liters. Pour the 5 liters from the 5-liter bucket into the 11-liter bucket.
- Finally, pour the remaining 8 liters from the 13-liter bucket into the 11-liter bucket. The 11-liter bucket will then be full, and the remaining lemonade in the 24-liter bucket will be 19 - 8 = 11 liters.
3. Now, the three men can each take home an equal amount of lemonade by using their respective buckets. The 13-liter bucket has exactly 13 liters, the 5-liter bucket has 5 liters, and the 11-liter bucket has 11 liters.