2022 AMC 8 Problems/Problem 11
Contents
Problem
Henry the donkey has a very long piece of pasta. He takes a number of bites of pasta, each time eating 
inches of pasta from the middle of one piece. In the end, he has 
pieces of pasta whose total length is 
inches. How long, in inches, was the piece of pasta he started with?
Solution
If there are pieces of pasta, Henry took 
bites. Each of these 
bites took inches of pasta out, and thus his bites in total took away 
inches of pasta. Thus, the original piece of pasta was 
inches long.
~wamofan
Video Solution
https://www.youtube.com/watch?v=H1K4WJ93isA
~Mathematical Dexterity
Video Solution
https://youtu.be/Ij9pAy6tQSg?t=887
~Interstigation
Video Solution
~STEMbreezy
Video Solution
~savannahsolver
See Also
| 2022 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 10 |
Followed by Problem 12 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
