Final answer:
The bucket can hold 1.34 liters.
Step-by-step explanation:
To find out how many liters the bucket can hold, we need to determine how much water was added to the bucket to make it three-quarters full. We know that adding 2 liters of water made the bucket three-quarters full. So, if 2 liters represent three-quarters of the bucket's capacity, then one-quarter of the bucket's capacity is equivalent to 2 liters divided by 3. One-quarter of the bucket's capacity is equal to 0.67 liters. Since the bucket was initially half full, we can add another half of its capacity to get the total capacity. One-half of the bucket's capacity is equal to 0.67 liters, so the total capacity of the bucket is 0.67 liters multiplied by 2, which equals 1.34 liters.