Posted by **emma** on Thursday, May 9, 2013 at 2:39pm.

Three boxes of fruit are labeled Apples, Oranges, and Apples and Oranges. Each label is wrong. By selecting just one fruit from just one box, how can you determine the correct labeling of the boxes?

- math -
**Steve**, Thursday, May 9, 2013 at 2:50pm
pick a fruit from the box labeled Apples and Oranges. Because all the labels are wrong, you know the box is either all apples or all oranges.

If you draw an apple, you know that the box is all apples. So, the box labeled Oranges must be not oranges, but apples and oranges, since it cannot be oranges (since its label is wrong), and you have an apple.

The remaining box, labeled Apples, must be all oranges.

reverse the logic if you draw an orange.

## Answer This Question

## Related Questions

- math - three boxes are in a room. You know that one contains apples, one ...
- math - 3 boxes are in a room. You know that one contains apples, one contains ...
- Math - Three boxes are labeled peaches, apples, and peaches & apples. Each box ...
- Math please help - Celeste is making fruit baskets for her service club to take ...
- Algebra - Write a linear system of equations that can be used to solve these ...
- Math - You've got a bucket labeled Apples, and a bucket labeled Oranges, and a ...
- math - word problem - 2/3 of the pieces of Fruit in Lurene's basket are oranges...
- Pre-Algebra - Write a linear system of equations that can be used to solve these...
- Math - Fractions - 2/3 of the pieces of Fruit in Lurene's basket are oranges. Of...
- AIG MATH - A fruit seller has an equal number of apples and oranges.He sold 109 ...

More Related Questions