Mr. P often writes a business letter on an 8 1/2" x 11" piece of paper, then folds it in "thirds" and places it in a business envelope.   He doesn't actually measure where his first fold would be; he just approximates it.   If a business envelope measures 9 1/2" x 4 1/8", how far up from the bottom of the page should he make his fold to ensure that the paper will fit in the envelope?   The optimal length would be 3.66" but he wants to know the range of values that would allow the paper to fit in the envelope.



Solution to the Problem:

The answer is 2 3/4" to 4 1/8".

The largest fold would be the width of the envelope (4 1/8").
The smallest fold would be the remainder after 4 1/8" and 4 1/8" were added together and subtracted from 11".


Correctly solved by:

1. James Alarie Flint, Michigan
2. Rob Miles Northbrook, Illinois
3. Ivy Joseph Pune, Maharashtra, India