Elementary POW, April 28-May 2, 1997

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This week's mentors are Kari Brown-Herbst and her junior high school students from Unalaska City School on Unalaska Island in Alaska's Aleutian Peninsula. Kari writes:
"We have enjoyed our participation in the Elementary Problem of the Week. Though hampered by technological limitations, it was fun to be in touch with classrooms around the country, and fun for my students to be the mentors from their isolated homes in the islands!"

Correct Solutions submitted by:

Ali, Catherine and Cathy
Claire & Jana
Char Wahlborg & Class
AImee, Ruth, and Caitlin
Daniel Day
Daniel Schermerhorn
Rosaura Butrom
Joe Baker
Andrew Richardson
Dan & David
Bob Coulter's Class from St. Louis
Bryan Bell
Jonathan, Daniel, & Jason
William Ewing
Jimmy Sproul
Lauren D.
Bill, a grownup
Colby Vankoughnott
Nathan Strong
Michelle Lanegraff
Trevor Rodchenko
Janelle Nikiforuk
Stephanie Nelson
Katie, Sarah, Pete, Curt, & Jen
Kyle, Elina, Nicole, John, Laura B, Nicole C, Andreas Pettersen
Chris, Steven, & Rick
Cathy & Leah
Kevin LaFrance
Bryan Belisle
Mrs.  Hanley's 3rd Grade Math Group
Scott Tradahl
Jolie Jankowitz
Dustin Brondyke, Jake, Chris, Nick, & Georgia
3rd Grade Bulldrog or Northbridge, MA
Stephanie from Stony Lane
Brianna Sosa
Theresa & Jillian
Megan, Kaitlyn, Loren C, & Meaghan
Mai Sy Xiong
Zack Seibert
Eric O'Brien
Julia Ward & Jessica Kircher
Matt Kaiser
Mandi Oestreich
Tim Rineck
Ryan Loshaw
Tyler Bryan
Ben Keller
Whitney & Lauren, Devin & Tom
Veronica, Aileen, Terry, Andrea, Lance & Daniel

Highlighted Solution

From: Mrs. Hanley's (LHanley303@aol.com) Third Grade Math Group
(Emily, Alicia, Katie, Jamie, Jeff, Alex, Tim, Andrew, John and Dan)
from Gilead Hill School in Hebron, Connecticut
The circles have the following number values:

A=6, B=1, C=4, D=3, E=8, F=7, G=2, H=9, I=5.
Our method is described below:
Our class studied the diagram in the problem, and came up with 7 math sentences:

A+B = 7
A+C = 10
C+E = 12
D+F = 10
F+G = 9
G+I = 7
F+H = 16

We noticed that the letter "F" appeared in three statements, so we figured out what F could be. The only number that fit all three sentences was "7". Once we found F we were able to identify D, G, and H from the three "F statements". Next, we looked at G+I = 7 to solve for I.
Finally, we looked at the first three math sentences (A+B = 7, A+C = 10 and C+E = 12) and figured out what "A" was knowing that we had four unassigned numbers left (1, 4, 6, 8). A had to be equal to 6, B was 1, and C was 4. The only number left was 8 which we assigned to E.
We then went back and double-checked our answers.

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