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Sample Problem

• Four volunteers can pack 12 boxes every 30 minutes. How many additional volunteers are needed to pack 72 boxes every hour?

[Assume all volunteers work at the same rate]

Ms. Clark’s Class

• Aren A.• Austin C.• Sean G.• Xavier G.• Ryan L. • Junior M.• Isabella R. • Nicolas S. • Jaden V. • Sean W.

Ms. Rubino’s Class

• Ruben B. • Kaitlyn C. • Antonio D.• James J.• Brandon M. • Jeremy L.• Nataly P. • Chris T. • Vera V.

Ms. Fixell & Ms. Oliva’s Class

David A.

Matthew A.

Lucy B.

Dracy C.

Grace F.

Alissa G.

Ava I.

Bobby L.

Katerine M.

Rosalie M.

Andrew R.

Kyla T.

Ms. Birchman’s Class

• Ismail A. • Kyan A. • Daphne B.• Cristal F.• Olivia H.

• Nicholas K.• Kellie M.• Henry P.• Cristian S.

Ms. Sherwood’s Class

• Sebastian A. • Tommy B.• Steven B. • Lea B. • Leslie C.• Noemia C.• Rafael G. • Fabrizio G.

• Ameen K.• Jackson M. • Aaron R.• Aliya T. • Kevin T.• Samantha V.• Andrew Z.

Ms. Wood’s Class Cisnia A.Devin B.Shelby F. Andres I.Wesley L. Cordelia M.Lyndsey R.Juan TLyza V.Erick Z.

Ms. DeVivo’s Class • Rachel A. • Brianna B. • Alicia C. • Nick D. • Victoria H. • Henry K.• Elizabeth K.

• Henry L. • Max M.• Michael O.• Mikey S. • Jennifer S. • Sean W. • Rhiannon Z.

Ms. Gonzalez’s Class

• Emily A. • Lucia B.• Sydney G. • Luciana L. • Samuel L. • Griffin M.• Abigail O.• Darlene P. • Charis P. • Jack V.

Ms. Rose’s Class • Dante A. • Virginia B. • Nathaniel D. • Grady H. • Delilah M.

• Kiera M. • Madison M. • Anna N.• Kaitlyn R.

Extreme Effort

Emily Allendorf

Dante Almonzar

Devin Bernstein

Henry Poret

Jack Vita

Charis Polycarp

ou

Samuel Leviatin

Andrew Zengin

Ms. Zerafa’s Class

•Kirssis A.

•Michael A.

•Raasuan B.

•Arya G.

•Connor G.

•Ben G.

•Skylar H.

•James M.

•Brandon P.

•Ben P.

•Andy S.

•Xander S.

•Jonathon T.

Ms. Sharkey’s Class•Melanie O.

•Bryan P.

•Arghya R.

•Kelsey S.

•Caitlyn S.

•Emily W.

•Maya W.

•Amalia W.

•Caroline Y.

•Sandy A.

•Olivia C.

•Emma C.

•Luke G.

•Noel G.

•William H.

•Ilan M.

•Chris N.

•Henry N.

•Kelvin N.

Ms. Leveille & Ms. Diggle’s Class

• Saya A.• Ciara B. • Emma C. • Jeanne L.• Philip M.• Lucas O. • Thomas P.• Chris P. • Storm S. • Michael S.• Stella S. • Jack T. • Claire W.

Ms. Huntington’s Class

• Harrison H.• Tailer L.• Jonah M. • Frankie P.• Johanna R.• Sydney S.• Kevin S.• Lev S. • Edric W.• Cameron W.

Mr. Duschenchuk’s Class

•Madison A.

•James A.

•Isabella A.

•Alyssa C.

•Robert D.

•Brandon E.

•Gabriel F.

•Dario H.

•Luke J.

•Isabella M.

•Zoey M.

•Anna N.

•Joseph O.

•Leslie P.

•Theo P.

•Helena S.

•Kenny V.

•Amelie W.

Ms. Bentley’s Class

•Kayla C.

•Liam H.

•Katie J.

•Anya P.

•John S.

•Nick S.

•Brandon T.

Ms. Valle’s Class

• Mateo A.• Lizette C. • Henry C. • Diana C.• Maribel G. • Divya G. • Phoebe K. • William K. • Joniel M.

• Ryan M.

•Dylan N.

•Phoebe N.

•Henry P.

•Zachary S.

•Roalvin V.

•Jackie W.

Ms. Comerico’s Class

•Siobhan C.

•Karina D.

•Kevin M.

•Biani N.

•Larson O.

•Michelle Q.

•Zach R.

Extreme Effort

Brandon Epstein

Divya GraefinPhoebe KatzHenry NadileArghya Roy

Robert Delvecchio

Maya WeitzenXander Singh

Karina DickasonSaya Aizeki-

Nevins

Caroline Yawman

Phoebe Neilsen

Ms. Creary’s Class • Erick C.• Manny D.• Steven F.• Ethan F. • Nicholas G.• Noah G.• Jason G. • Anna G.

• Nicole K.• Katie K.• Marin L.• Ella M.• Jason O.• Jinal S.• Lena S.• Roshon S.• Stella V.

Ms. Spagnoli’s Class

• David A.• Alyssa B. • Angel C. • Sage C.• Jordan L.• Alex M.• Aaliyah M.• Taylor M.• Casey M.• Tania M.

• Michael O.• Symantha O.• Franklin P.• Michael P. • Alexandra S.• Ryan S.• Brian T.• Jefferson T.• Quentin T.• Jade W.

Ms. Crumbley & Mr. Kaufman’s Class

• Molly B.• Daniel C.• Therese N.• Daniel R.• Andrew Z.

Ms. Greiner’s Class

• Stella B. • Ian B.• Jasmin B.• Tess K.• Bryan G.

Ms. Gilligan’s Class

• Aaron A.• Amber A.• Emma B. • Devin B.• Sarah C.• Fabely C. • Peyton K.

Samantha L.Grace L.Sthefano O.Joey P.Dominic P. Grace R.

Mr. Jacob’s Class • Maria D.• Adam G.• Emily G.• Chaska G.• Danny I.• Sarah L.• Ian L.• Marialys R.• David R.• Ivette R.• Ginger S.• Cori T.

Mr. White’s Class • Ivette A. • Daisy B. • Isdenil B. • Andy C.• Jade C. • Lily D.• Isabella D.• Cindy E.

•Nolan F. • Jordan G.• Brian G.• Emma G. • Zoe K.• Eva K. • Marlon L.• Owen L.

• Lizbeth M. • Jordan P.• Diana P.• Andres P.• Logan R.• Carlos R.• Xarian R.• Ramon S.• Isabel S.

Ms. Gonzalez’s Class• Allie C.• Eddie C.• Joshua C.• Ocendy C.• Jassidy D.• Colleah E.• Oliver G.• Bryan G. • Desire J.• Maya K.

•Carolina L.•Ava M. •Quinn O.•Edwin P.•Lucy R.•Margaret R.•Rachel S.•Matthew Silver•Matthew Smajlaj•Ariel V.•William V.

Extreme Effort

Daniel Reiner

Peyton Koch

Katie Kudla

Michael Pineda

Ryan Schatzel

Emma Guarnieri

Matthew Silver

Stella Banino

Tess Kaplan

Sample ProblemSolutions!!

• Method 1: Strategy: Find how much 4 volunteers can do in one hour. If 4 volunteers can pack 12 boxes every 30 minutes, then 4 volunteers can pack 24 boxes every hour. In order to pack 72 boxes in an hour, 3 times as many volunteers are needed since 72 ÷ 24 = 3. So 12 volunteers are needed to do the job. Therefore, 8 additional volunteers are needed

• Method 2: Strategy: Find how many boxes 1 volunteer can do in one hour. If 4 volunteers can pack 12 boxes every 30 minutes, then 1 volunteer can pack ¼ as many boxes in 30 minutes, or 3 boxes. One volunteer can then pack 6 boxes in one hour. To pack 72 boxes requires 12 volunteers, so 8 additional volunteers are needed