Three boxes are labeled peaches, apples, and peaches & apples. Each box is labeled incorrectly. You may select only one piece of fruit from one box. How can you do this so that you can label the boxes correctly?
Three boxes are labeled peaches, apples, and peaches & apples. Each box is labeled incorrectly. You may select only one piece of fruit from one box. How can you do this so that you can label the boxes correctly?
Note that each label is incorrect.
So, you know apples is NOT apples, but either peaches, or peaches and apples, and so on.
So, why not select the peaches and apple box. Draw the fruit. If it is a peach, then you know the peach box is apple, or apple/peach.
labeled really is
apple/peach peach
peach apple or apple/peach
apple hmmm, cant be peach, or apple, so it is apple/peach
Try this for different combos, it works.
7:15
To label the boxes correctly, you can follow these steps:
1. Take a piece of fruit from the box labeled "Peaches & Apples." Since all the labels are incorrect, we cannot be sure what fruits are actually in this box.
2. Examine the fruit you selected from the "Peaches & Apples" box. Based on the assumption that all labels are incorrect, we can deduce the following possibilities:
- If the fruit is a peach, then the box labeled "Apples" must contain peaches (as it cannot be labeled correctly).
- If the fruit is an apple, then the box labeled "Peaches" must contain apples.
- If the fruit is a mix of peaches and apples, then the box labeled "Peaches & Apples" must contain only peaches.
3. Now that you have determined the contents of one box, you can use this information to deduce the contents of the remaining two boxes. Using the possibilities identified in step 2:
- If the box labeled "Apples" contains peaches, then the remaining box (previously labeled "Peaches") must be the one containing a mix of peaches and apples.
- If the box labeled "Peaches" contains apples, then the remaining box (previously labeled "Apples") must be the one containing a mix of peaches and apples.
- If the box labeled "Peaches & Apples" contains only peaches, then the remaining box can be determined based on the content of the fruit you selected initially. If it was an apple, then the remaining box must be labeled "Peaches," and vice versa.
By following these steps, you can correctly label each box based on the assumption that all labels are incorrect.