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Math Contest

Middle School Madness

19 and 47 - November 16, 2009

19 and 47 Image

Your task is to find two different numbers that sum to 1000.  By the way, one number must be a multiple of 19 and the other number must be a multiple of 47. 

Solution submission. Submit answer

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Congratulations to Nick Orrell of Beavercreek, OR, this week's winner of the Problem of the Week T-shirt! Find out more about winning a prize.

77% of the submitted answers were correct. (323 out of 417)
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Your name will be posted immediately after your answer is reviewed.


Correct answers have been submitted by:

  1. Lim Li. Queenstown Primary School, Singapore, Singapore
  2. Hannah Hunt. Shiloh Academy, Franklin, TX USA
  3. Jeff Lam. Hong Kong International School, Hong Kong, Hong Kong
  4. Vaughan Jones. Sonoran Sky Elementary, Scottsdale, AZ USA
  5. Terry Li. Hugh McRoberts Secondary School , Richmond,b.c., Canada
  6. Peter Lindgren. Slotte, Ljusdal, Sweden
  7. Mr Eric. Aisc, Chennai, India
  8. Jansen Jarret Sta Maria. Raffles Instituition, Singapore, Singapore
  9. Garima Kapila. Sunnyvale Middle School, Sunnyvale, CA USA
  10. Bar Greengrass. Lapid School, Hod Hasaron, Israel
  11. Stephen Embry. Open Window School, Bellevue, WA USA
  12. Lee Jae Woo. Teck Ghee Primary School, Korea, Korea (south)
  13. Shawn Barman. Tesoro Del Valle, Valencia, CA USA
  14. Sarah Embry. Open Window School, Bellevue, WA USA
  15. Janson Ng. Singapore International School, Hong Kong, Hong Kong
  16. Yung-kuang Wang. Kuangfu Junior High School, Taipei, Taiwan
  17. Shahmir Khan. Crescent School, Lahore, Pakistan
  18. Alice Nguyen 9l. Abc International School, Ho Chi Minh City, Vietnam
  19. Toan Luong. Abc International School, Hcm City, Vietnam
  20. Truong Bao Kiet. Abc International School, Ho Chi Minh City, CA Vietnam
  21. Jared Moore. Rutland Town, Rutland, VT USA
  22. Tiffany Pham. Abc International School, Hcm, Vietnam
  23. Kinley Rogers. Osceola Middle School, Ocala, FL USA
  24. Brennan Rogers. Osceola Middle School, Ocala, FL USA
  25. Abi Eneman. York Middle School, York, ME USA
  26. Travis Redman. Rutland Town School, Rutland, VT USA
  27. Khanh Nguyen. The Abc International School, Hcmc, Vietnam
  28. Christopher Le. Macon County Middle School, Marshallville, GA USA
  29. James Treacy. Canton Middle School, Canton, CT USA
  30. Anson Bidwell. Bookman Road Elementary, Columbia, SC USA
  31. Alex Wright. Dornoch Academy, Dornoch, Scotland
  32. Laura Terry. Dornoch Academy, Skelbo, United Kingdom
  33. Anthony Richard. Gretna No.2 Academy, Gretna, LA USA
  34. Coleman Jones. Blackmon Rd Middle School, Columbus, GA USA
  35. Isabela Gatmaytan. Osceola Middle School, Ocala, FL USA
  36. Chet Drew. St. Luke, Columbus, GA USA
  37. Alex Miller. Creekland, Lawrencevelle, GA USA
  38. Tom Zimmerman. Madison Middle School, Trumbull, CT USA
  39. Mahmoud Yousef. L.w. Ruppel Academy For Advanced Studies, Harvey, LA USA
  40. Ayah Yousef. L.w. Ruppel Academy For Advanced Studies, Harvey, LA USA
  41. Haley Nuehring. Homeschool, Ofallon, MO USA
  42. Nicholas Steven Husada. Universal School, Jakarta, Indonesia
  43. Nhan Nguyen 7a. Abc International School, Ho Chi Minh, Vietnam
  44. Tommy Le. Abc International School, Ho Chi Minh, Vietnam
  45. Stephen Ng. Hong Kong International School, Hong Kong, Hong Kong
  46. Paisley Pinkney. L.w. Ruppel, Marrero, LA USA
  47. Ivy Diep. Abc International School, Hcmc, Vietnam
  48. Mike Cox. Sisters Middle School, Sisters, OR USA
  49. Billy Knox. Kittrell, Murfreesboro, TN USA
  50. Riley Bunch. Kingston Elementary School, Kingston, TN USA
  51. Matthew Carlton. Mis, Mooresville, NC USA
  52. Vincent Imbrogno. Mis, Mooresville, NC USA
  53. Ryan Brown. Mooresville Intermediate, Mooresville, NC USA
  54. Dylan Bloomer. Mooresville Intermeidiat School, Mooresville, NC USA
  55. Evans Copeland. St. Luke School, Columbus, GA USA
  56. Nyles Huling. Arnold Magnet Academy, Columbus,ga, GA USA
  57. Molly Moran. Madison Middle School, Trumbull, CT USA
  58. Jyothika Nayak. Mangalore, India
  59. Daniel Poleshchuk. Cunningham Is234, Brooklyn, NY USA
  60. Naeisha Mcclain. Arnold Magnet Academy, Columbus, GA USA
  61. Ryan B.. Howard Wilson, Leavenworth, KS USA
  62. Erin Brookshire. Baker Middle School, Baker City, OR USA
  63. Cassie Miller. Warsaw Middle School, Pittsfield, ME USA
  64. A Block. Hbms, Hollis, NH USA
  65. Michael Parnell. Kms, Kodiak, AK USA
  66. Taylor Keppel. Calvin Christian, Wyoming, MI USA
  67. Jay Diemer. Calvin Christian, Wyoming, MI USA
  68. Gabe Lamer. Calvin Christian, Wyoming, MI USA
  69. L. Zhou. Middle, Parsippany, NJ USA
  70. Eman Cohen. Richards Middle School, Columbus, GA USA
  71. Divya Venkat. Detroit Country Day School, West Bloomfield, MI USA
  72. Jared Ebels. Calvin Christian, Wyoming, MI USA
  73. Jared Piersma. Calvin Christian Elamentary, Wyoming, MI USA
  74. Seth Piersma. Calvin Christian Elementary, Wyoming, MI USA
  75. Anthony Hoffman. Calvin Christian Elementry, Wyoming, MI USA
  76. Max Arias. Haverford School, Ardmore, PA USA
  77. Hannah Vincent. Calvin Christian, Wyoming, MI USA
  78. Felecia Durst. Norwood, Peoria, IL USA
  79. Santiago Gonzales. Frontier Middle School, Moses Lake, WA USA
  80. Sage Ducoing. Rupple Academy, Gretna, LA USA
  81. Anuragh Gudur. Blackmon Road Middle School, Columbus, GA USA
  82. Ryan Daigle. Ruppel, Marrero, LA USA
  83. Grant Harriss. Osceola Middle School, Ocala, FL USA
  84. Francis G. St. Bonaventure, Toronto, Canada
  85. Anastasia Wetterow. St Luke Middle School, Columbus, GA USA
  86. Rajangad Gurtatta. Scullen Middle School, Naperville, IL USA
  87. Kameron Kegler. Blackmon Road Middle School, Columbus, GA USA
  88. Sharon Lin. Indian Hill, Holmdel, NJ USA
  89. Alex Demarco. The Haverford School, Haverford, PA USA
  90. Adithi Anil. Scott Highland Middle School, Apple Valley, MN USA
  91. Alec Tyminski. The Haverfrod School, Devon, PA USA
  92. William Burkhardt. Dimon School, Columbus, GA USA
  93. Laura Danila. Webster, Livonia, MI USA
  94. Jazmyn Mcintosh. Blackmon Road Middle, Columbus, GA USA
  95. Nancy Hatcher. Stluke, Columbus, GA USA
  96. Andy Jung. Tesoro Del Valle, Valencia, CA USA
  97. Amanda Hay. St. Luke School, Columbus, GA USA
  98. Uddish Mondal. Still Middle School, Aurora, IL USA
  99. Pawel Strezebonski. Junior High, Mahomey, IL USA
  100. Jessica Fan. MUES, Moorestown, NJ USA
  101. Rachel Hines. Cda Charter Academy, Coeur Dalene, ID USA
  102. Erin Steinkamp. Gretna No.2, New Orealens, LA USA
  103. Brian Borgia. Mooresville Intermidiate, Mooresville, NC USA
  104. Omar Vallejo. Blackmon, Columbus, GA USA
  105. David Smith. Mooresville Intermediate School, Mooresville, NC USA
  106. Andrea Ingles. Blackmon Rd. Middle School, Columbus, GA USA
  107. Andrea Ingles. Brms, Columbus, GA USA
  108. Markus Wright. Arnold Magnet Academy, Columbus, GA USA
  109. David Smith. Mooresville Intermediate School, Mooresville, NC USA
  110. Anna Gorbenko. Canton Intermediate School, Canton, CT USA
  111. Ms. Macs 4th Period Class. Teasley Ms, Canton, GA USA
  112. Austin Mcmickle. Blackmon Road Ms, Columbus, GA USA
  113. Sean Harper. St. Luke School, Columbus, GA USA
  114. Matt Francis. Home School, Lexington, SC USA
  115. Sean Harper. St. Luke School, Phenix City, AL USA
  116. Mckenzie Ward. St. Luke Middle School, Columbus, GA USA
  117. Jake Cooper. St. Luke School, Columbus, GA USA
  118. Steven Wu. St. Luke, Columbus, GA USA
  119. Jordan Tippins. Blackmon Road Middle School, Columbus, GA USA
  120. Ben Kettle. West Homer, Homer, AK USA
  121. Robert Petrakis. School, Peoria, IL USA
  122. Blaine Rench. B-pc Jh, Bushnell, IL USA
  123. Jodi Grantham. Cda Charter Academy, Dalton Gardens, ID USA
  124. Albert Tang. Welby Way, Los Angeles, CA USA
  125. Analisa Del Grosso. Benchmark, Phoenix, AZ USA
  126. Sam Sunder. School, Columbus, OH USA
  127. Tulasi Chittivelu. Peoria Academy, Peoria, IL USA
  128. Hantao Jing. Ppms, Brookfield, WI USA
  129. Ivan Schmidt. Arroyo Vista Elementary, South Pasadena, CA USA
  130. Paul Leonardi. Silvercrest Elementary, Pearland, TX USA
  131. K. Rachel Price. Jackson County Middle School, Annville, KY USA
  132. Kirk Lam. Hong Kong International School, Hong Kong, Hong Kong
  133. Chirag Kamdar. School, Ho Chi Minh City, Vietnam
  134. Shawn Liu. International School Of Beijing, Beijing, China
  135. Irene Lucio. Evergreen Elementry, Metamora, OH USA
  136. Nicodemus Popper. Evergreen Elementary, Metamora, OH USA
  137. Ed Jenkins. St. Luke School, Columbus, GA USA
  138. Rahulroy Kinnera. Sam Academy, Chennai, India
  139. C Block. Hbms, Hollis, NH USA
  140. Ashley Bush. St. Luke School, Columbus, GA USA
  141. Gent Gjika. Turgut Ozal College Of Tirana, Tirana, Albania
  142. Maciej Kocot. Gimnazjum 16, Kraków, Poland
  143. Alexander Haas. Silverbrook Middle School, West Bend, WI USA
  144. Carson Outler. St. Luke School, Columbus, GA Georgia
  145. Sammy Sklarin. Bhds, San Francisco, CA USA
  146. Jill Van Der Schaaf. Union Elementary, Union, ME USA
  147. David Dougelus. Bryan Middle, Bryan, TX USA
  148. Charles Bradley. Oak Point Intermediate, Eden Prairie, MN USA
  149. Akshat Misra. Roton Middle School, Norwalk, CT USA
  150. Sarah Busey. 21st Century Prep, Racine, WI USA
  151. Xander Bartone. The Center For Teaching And Learning, Bath, ME USA
  152. Anastasia Wetterow. St. Luke Middle School, Columbus, GA USA
  153. Mikki Nicknack. Evergreen Elementary, Metamora, OH USA
  154. D Block. Hbms, Hollis, NH USA
  155. Jessie Mara. Evergreen Elementary, Metamora, OH USA
  156. Kasey Merklin. Kodiak Middle School, Kodiak, AK USA
  157. Amy C.. West, Leavenworth, KS USA
  158. Rachel Kiefaber. Rutland Town School, Rutland Town, VT USA
  159. Matthew C.. West, Leavenworth, KS USA
  160. Mckenna S.. West, Leavenworth, KS USA
  161. William Page. Stonewall Centennial, Stonewall, Canada
  162. Aamir Punjani. Blackmon Road Middle School, Midland, GA USA
  163. Travis Xiang. Casselberry Elementary, Casselberry, FL USA
  164. Amy Tanner. Evergreen Elementary, Metamora, OH USA
  165. Jimmy Mcewan. Madison Middle School, Trumbull, CT USA
  166. Spencer Williams. Ogden, Oregon City, OR USA
  167. Jeffrey You. Parker Middle School, Chelmsford, MA USA
  168. Lucas Heald. Rts, Rutland, VT USA
  169. Danny Liang. Garden Hills School, Champaign, IL USA
  170. Jody Noreen. Hawley, Hawley, MN USA
  171. Ben Katz. Quail Run Elementary, Lawrence, KS USA
  172. Jordan Johnson. Peoria Academy, Peoria, IL USA
  173. Bailey Alexander :d. St. Luke, Columbus, GA USA
  174. David Shuper. Brandeis Hillel Day School, San Francisco, CA USA
  175. Gerald Douglas. St.luke School, Columbus, GA USA
  176. Whitley Gillespie. Brms, Columbus, GA USA
  177. Katie Kessler. Peoria Academy, Peoria, IL USA
  178. Ishan Sahoo. Britt David, Columbus, GA USA
  179. Brayden Elsmore. Juab Jr. High, Mona, UT USA
  180. Austin Elsmore. Mona Elementary, Mona, UT USA
  181. Sydney Droll. St.gregory College Prepetory School, Tucson, AZ USA
  182. Victoria Goetz. Coeur D Alene Charter Academy, Coeur D Alene, ID USA
  183. Daniel Roy. Saint Gorges School, Veradale, WA USA
  184. Tom Schmidt. Henry Middle School, Northridge, CA USA
  185. Alex Caviness. Peoria Academy, Peoria, IL USA
  186. E Block. Hbms, Hollis, NH USA
  187. Brian Mcgrath. Center For Teaching And Learning, Westport Island, ME USA
  188. Dorit Liss. Cda Charter Academy, Harrison, ID USA
  189. Austin Bolomey. Orchard Middle School, Solon, OH USA
  190. Emma Peebles. Evergreen Elementary, Metamora, OH USA
  191. Trent Johnson. Hickman Middle, Centerville, TN USA
  192. Jeremy Demumbran. Hickman Middle, Centerville, TN USA
  193. Brandon Mcguirt. Hickman Middle, Centerville, TN USA
  194. Hannah Pendergrass. Hickman County Middle School, Centerville, TN USA
  195. Elizabeth Graves. Canton Middle School, Canton, CT USA
  196. Dylan Rochelle. Hickman Middle, Centerville, TN USA
  197. Kristina Davis. Hickman County, Centerville, TN USA
  198. Travis Wright. Hickman County Middle School, Centerville, TN USA
  199. Amanda Smith. Hickman Middle, Centerville, TN USA
  200. Aliza Lauter. Bhds, Sf, CA USA
  201. Solana Chertow. Bhds, San Francisco, CA USA
  202. Rachel Dunham. Norwood, Peoria, IL USA
  203. Caleb Mccurdy. Brentwood Elementary, Brentwood, CA USA
  204. Wesley Williams. St. Luke School, Columbus, GA USA
  205. Julia Allen. St. Luke School, Columbus, GA USA
  206. Matthew Danbury. Cossitt School, La Grange, IL USA
  207. Jason Hagani. Madison Middle School, Trumbull, CT USA
  208. Alyssa Watson. Pleasant, Marion, OH USA
  209. Olivia Dowe. St. Luke School, Columbus, GA USA
  210. Alec Sun. Florence Sawyer School, Bolton, MA USA
  211. Katie George. Warsaw Middle School, Pittsfield, ME USA
  212. Mohammad Monem. Ruppel Academy For Advanced Studies, Gretna, LA United Kingdom
  213. Lanier Brooks. St. Luke School, Columbus, GA USA
  214. Cassady Cabelka. St. Luke School, Columbus, GA USA
  215. Natalie Jacobson. Brandies Hillel Day School, San Francisco, CA USA
  216. Ashley Radee. Peoria Academy, Peoria, IL USA
  217. Hannah Raciti. South Polk Elementary, Fort Polk, LA USA
  218. Sophie Lee. Peoria Academy, Peoria, IL USA
  219. Mariah Blanks. St. Luke School, Columbus, GA USA
  220. Kylie Vollmar. Peoria Academy, Chillicothe, IL USA
  221. Klaiten Kermoade. View Ridge Elementary,, Everett, WA USA
  222. Michael Miles. Peoria Academy, Peoria, IL USA
  223. Gwang Hyeon Kwon. Abc International School, Ho Chi Minh, Vietnam
  224. Katie Hughes. Warsaw Middle School, Pittsfield, ME USA
  225. Melody Piper. Norwood, Peoria, IL USA
  226. Mitchell Hallee. Warsaw Middle School, Pittsfield, ME USA
  227. Dani Chavez. Creekwood Middle School!, Kingwood, TX USA
  228. Leslie Collignon. Home, Powell, OH USA
  229. Acelyn Neff. Colonial Christian Academy, Franklin, TX USA
  230. Jack Walker. High-tech-middle, San Diego, CA USA
  231. Angelo Rivera. Kodiak Middle School, Kodiak, AK USA
  232. Arrianna Gabbidon. Ruppel Academy, Gretna, LA USA
  233. Jeff Huber. Medomak Middle School, Washington, ME USA
  234. Joshua Yake. Pleasant Elementary, Marion, USA
  235. Jordan Delbianco. Rutland Town School, Rutland, VT USA
  236. Caleb Harbin. Brms, Columbus, GA USA
  237. Joshua Redman. Blackmon Road Middle School, Columbus, GA USA
  238. Kennedi Williams. L.w. Ruppel Academy, Harvey, LA USA
  239. Megan Thomasson. Peoria Academy, Peoria, IL USA
  240. Bryce Koon. St. Luke School, Midland, GA USA
  241. Andy Leith. Haverford School, Haverford, PA USA
  242. Jason Lu. Brooklyn Studio, New York, NY USA
  243. Dylan Olson. Hawley, Hawley, MN USA
  244. Brandon Wingfield. Blackmon Road Middle School, Columbus, GA USA
  245. Kateland Stevenson. St.luke School, Columbus, GA USA
  246. Averett Flory. St. Luke Middle School, Columbus, GA USA
  247. Cameron Anderson. St. Luke School, Columbus, GA USA
  248. Connor Todd. St. Luke School, Columbus, GA USA
  249. Annabeth Chase. Ues, Moorestown, NJ USA
  250. Evan Vickers. Gretna #2 Academy, Gretna, LA USA
  251. Ly Tran. Ruppel Academy, New Orleans, LA USA
  252. Ryan Tino. The Haverford School, Havertown, PA USA
  253. Donte Sincere. Ruppel Academy, Gretna, LA USA
  254. Alexis Lamarre. Warsaw Middle School, Pittsfield, ME USA
  255. Lacey Hines. Rupel Academy For Advanced Studies, Gretna, LA USA
  256. Jenny Jiang. Mark Twain I. S. 239, New York City, NY USA
  257. Justin Liu. Spms, South Pasadena, CA USA
  258. Matt Marsh. Britt David Magnet Academy, Columbus, GA USA
  259. Khalid Laster. Peoria Academy, Peoria, IL USA
  260. Curtis Laster. Peoria Academy, Peoria, IL USA
  261. Melissa Becraft. Peoria Academy, Peoria, IL USA
  262. Emma Mccormick. C Da, Coeur Dalene, ID USA
  263. Daniel Mudge. St. Luke, Ellerslie, GA USA
  264. Cecelia S.. Cw, Tacoma, WA USA
  265. Hou-chun Lin. Kuangfu Junior High School, Taipei, Taiwan
  266. Joshua Ani. Montgomery Elementary School, Atlanta, GA USA
  267. Kapildev Neupane. Diamond Higher Secondary School, Pokhara, Nepal
  268. Derek Murphy. York Middel School, York, ME USA
  269. Caroline Hydrick. St. Luke, Columbus, GA USA
  270. Meagan Munoz. Ruppel Academy, Gretna, LA USA
  271. Summer Neff. Colonial Christian Academy, Franklin, TX USA
  272. Jc Call. Smes, St.marys, GA USA
  273. Kieran Wharton. Smes, St.marys, GA USA
  274. Jonothan Odum. Smes, St.marys, GA USA
  275. Alexis @ra. Ridgefield Academy, Ridgefield, CT USA

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