If one-and-a-half woodchucks can chuck one-and-a-third cords of wood in one-and-a-fourth hours, how many cords of wood can one woodchuck chuck in one hour?
Solution 1 by Mark Veneklase, Grand Rapids Catholic
Central High School
The rate at which the 
woodchucks
are chucking is 
.
Assuming that one woodchuck chucks wood at a proportionally altered rate, that
rate will be simply 
or 
cords of wood
per hour.
Solution 2 by Joe Gilsenan, De La Salle Collegiate
High School
Divide the 1 1/2 woodchucks by 3; then 1 1/2+ 1/2 +1/2 +1/2 woodchucks. Similarly,
divide the 1 1/3 cords of wood by 3; then 1 1/3 = 4/9 =4/9 =4/9 cords of wood.
Then 1/2 of a woodchuck can chuck 4/9 cords of wood in 1 1/4 hours. That means
that 1 woodchuck can chuck 8/9 cords in 1 1/4 hours. If you multiply 1 1/4 by
1/5, it equals 1/4hour, and if you multiply 8/9 by 1/5, you get 8/45 cords.
That means that one woodchuck can chuck 8/45 cords in 1/4 hour. Therefore, one
woodchuck can chuck 8/45*4 = 32/45 cords of wood in one hour.
Also solved by: Stephanie Goggin (Alma H.S.); Peter Denton (East Grand Rapids H.S.); Ashley Darner (Jackson H.S.); Alex Bordyukov, Eva Dou, Cathy Krueger (Grosse Pointe South H.S.); Anthony Ballor, Patrick Diehl, Andrew Jeanguenat (De La Salle Collegiate H.S.); Derek Elenbaas, Armila Francis, Cameron Groenewoud, Brooke Harris, Aaron Lorincz, Patrick Lutz, Sara Ross, Sarah Roth, Meg Tabbey (Plymouth Christian Academy); Hanna Rutkowski, Ellen Schneeberger, Zachary Bergmann (Marquette H.S.); Jennifer Liu (Forest Hills Central H.S.); Dave Feutz, Visakh Ponnuru (Forest Hills Northern H.S.); Scott Howard, Lauren Krueger, Steve Lambert, Dani Tyner, Susanna Wilder (Forest Hills Eastern H.S.); Mary Hogan (Marshall H.S.); Trevor Lambert, Jake Maloney (Catholic Central H.S.); Alex Montoye (Mt. Pleasant H.S.); Julia Schulz (Birch Run H.S.); Chelsea Fogwell (Lansing Catholic Central H.S.); Joseph VanderZee (Grand Rapids Catholic Central H.S.); Charles Bunce, Joshua Long (St. Louis H.S.); Jeff Golden (Clio H.S.); Michael Jahn, Kiran Sebastian, Britten Shelson (Saginaw Heritage H.S.); Stephanie Ebaugh (Walled Lake Northern H.S.); Rory Acker, Nicole Konsza, Megan Kursik, Alex Perry, Tiffany Prout, Patrick Sage, Cori Snyder, Ryan Stabel, Matt Steibel, Jacqueline Tennis, Jake Thompson, Taylor Thurston, Zoe Warren, Matt Weller, Jamie Wolverton (Linden H.S.); Chris Aepelbacher, Kenny Anderson, Chase Beatty, Billy Brodin, Bethany Brodin, Weston Bryan, Courtney Chamberlain, Kyle DeYoung, Justin Dibble, Shannon Dibble, Daniel Elliott, Gena Gaudio, Nate Golovich, Corey Gotshall, Ashley Grosberg, Ty Haske, Michael Heckendorn, Sally Hoselschwartz, Kyle Jones, Justine Karnicki, Sarah Klooster, Laura Larsen, David Left, Clinton Longley, Andrew Malloy, Jeff Miller, Darron Munson, Matt Novotny, Ariel Ramsey, Meridith Rich, Josh Saur, Rob Shutler, Zack Smith, Nathaniel Sotuyo, J.D. Speigl, Adam Ulrich, Nic Williams (Charlevoix H.S.).