You have a small graduated cylinder with maximum capacity of 250ml. All measuring marks have been worn off except the 50ml, the 150ml, and the 250ml marks. You have a second larger container(size not specified)that is unmarked. It is possible to put 125ml into the large container. What is the fewest measuring to do this?
To determine the fewest measurements needed to transfer 125ml into the large container, you need to divide the process into two steps:
Step 1: Measure 50ml
First, you need to measure 50ml using the small graduated cylinder. Fill the cylinder with water up to the 50ml mark. Make sure the water level reaches precisely the mark for accuracy.
Step 2: Measure 75ml
Next, pour the 50ml of water from the small graduated cylinder into the unmarked large container. Then, fill the graduated cylinder again up to the 150ml mark. Subtract the remaining capacity (50ml) of the small graduated cylinder from the larger container (125ml). This leaves you with 75ml in the larger container.
Note: The question states that it is possible to put 125ml into the large container, so we can assume that the larger container can hold up to 125ml.
Therefore, the fewest measurements needed to transfer 125ml into the large container is two measurements: 50ml and 75ml.