The Gift






The Gift


Three friends have a tradition of buying each other a gift once a year. Each person is bought a gift by the other two who split the price equally. So A and B each pay half the cost of the gift for C, B and C each pay half the cost of the gift for A, and C and A pay half the cost of the gift for B. The final rule is that each person spends all the money they bring.

If A brings $50, B brings $58, and C brings $62, what are the purchase amounts for the three gifts?

Correct Solutions:


  1. Christopher Rice. C.E. Byrd HS, Shreveport, LA
  2. Morgan Chen. Mt. Carmel HS, San Diego, CA
  3. Koos van Zyl. Overkruin HS, Pretoria, South Africa
  4. Osama Ghali. C.E. Byrd HS, Shreveport, LA
  5. Sorin Ionescu. Ecole Secondaire Dorval, Dorval, Quebec, Canada
  6. Ashlea Fadem. Lake Highland Prep, Orlando, FL
  7. Batman. Swami Vivekand HS, Chembur, Mumbai, India
  8. Michael Minardi. Oviedo HS, Oveido, FL
  9. Aly Merchant. Woburn Collegiate Institute, Toronto, ON, Canada
  10. Michael Venzke. Hampton Bays Secondary School, Hampton Bays, NY
  11. Bailes Brown. Walhalla MS, Walhalla, SC
  12. Amber Bromenshenkel. Sauk Centre HS, Sauk Centre, MN
  13. Aaron Wills. Sauk Centre HS, Sauk Centre, MN
  14. Tammie Nimmo. Sauk Centre HS, Sauk Centre, MN
  15. Kathleen Lysaught. Mannheim HS, Mannheim, Germany
  16. Wojciech Lewkowicz. Lemont HS, Lemont, IL
  17. Kathryn Larson. Oviedo HS, Oviedo, FL
  18. Bett Walker. Jackson Prep, Jackson, MS
  19. Joel Merritt. Homeschool, Lutz, FL
  20. Nick Gurski. Caddo Magnet HS, Shreveport, LA
  21. Robin Campbell. Lake Highland Prep, Orlando, FL
  22. Blake Dechant. Southeast HS, Ravenna, OH
  23. Adam Bliss. Collins Hill HS, Lawrenceville, GA
  24. Robin Donelson. Boise HS, Boise, ID
  25. Timothy Hsu. Vestavia Hills HS, Vestavia Hills, AL
  26. Darren Kwong. South Pasadena MS, South Pasadena, CA
  27. Tao Tao Chen. Ellis ES, Sunnyvale, CA
  28. Anders Uppstrom. Komvux HS, Mariestad, Sweden
  29. Tiffany Hobgood. Madisonville North Hopkins HS, Madisonville, KY
  30. Beth Wilson. Apollo JHS, Richardson, TX
  31. Justin Halbersma. Sauk Centre HS, Sauk Centre, MN
  32. Shannon Brunko. Sauk Centre HS, Sauk Centtre, MN
  33. Daniel Harlow. Louisa County HS, Mineral, VA
  34. Gino Broeckhoven. Sint-Theresia College, Antwerp, Belgium
  35. Abby Yochum. Hillsboro MS, Hillsboro, OH
  36. Anders Sjoqvist. Sjodalsgymnasiet, Huddinge, Sweden
  37. Michelle Simmons. Oviedo HS, Oviedo, FL
  38. Justin Lam. College Park HS, Pleasant Hill, CA
  39. Michael Do. Caddo Magnet HS, Shreveport, LA
  40. Yuh-Mei Liao. Leon HS, Tallahassee, FL
  41. Isaac Dooley. Vestavia Hills HS, Vestavia Hills, AL
  42. Ming De Lin. Fair Lawn HS, Fair Lawn, NJ
  43. Henry Chang. Beecher Road ES, Woodbridge, CT
  44. Adam Maberry. Buchanan ES, Pierre, SD
  45. Michael Moyer. The Way Home School, Carlise, PA
  46. Larissa Hansford. The Mount School, York, England, UK
  47. Abbi Hope-Urwin. The Mount School, York, England, UK
  48. Michal Rezny. Alejnikovova 3, Czech Republic
  49. Seth Storer. Hillsboro HS, Hillsboro, OH
  50. Doug Shannon. Hillsboro HS, Hillsboro, OH
  51. Wade Hogg. North Hopkins HS, Madisonville, KY
  52. Amanda Binkley. North Hopkins HS, Madisonville, KY
  53. Jack Williamson. North Hopkins HS, Madisonville, KY
  54. Catarina de Avillez. St. Julian's School, Carcavelos, Portugal
  55. Phillip Caudill. North Hopkins HS, Madisonville, KY
  56. Paul Vernon. Maize HS, Maize, KS
  57. Shereen Kassam. Lake Highland Prep, Orlando, FL
  58. Zahara Kassam. Lake Highland Prep, Orlando, FL
  59. Matthew Paul. C.E. Byrd HS, Shreveport, LA
  60. Chris Nuttall. Grissom HS, Huntsville, AL
  61. Alice Wishart. The Mount School, York England, UK
  62. Nasser S. Demir. American School of Kuwait, Hawalli, Kuwait
  63. Autumn Coughlin. North Hopkins HS, Madisonville, KY
  64. Larry Scheid. Parkersburg HS, Parkersburg, WV
  65. Matthew Jennings. Greensburg Salem HS, Greensburg, PA
  66. Joshua Pfeil. Center For Arts & Sciences, Saginaw, MI
  67. Marilyn Rucker. Jefferson HS, Dayton, OH
  68. Nick Westfahl. Maize HS, Maize, KS
  69. Jenny Scott. The Mount School, York England, UK
  70. Sarah Halford-Fletcher. The Mount School, York, England, UK
  71. Kathy Swaby. The Mount School, York, England, UK
  72. Jennifer Brett. The Mount School, York, England, UK
  73. Brian Brunette. Cony HS, Augusta, MA
  74. Jemima Line. Clevedon Community School, N Somerset, UK
  75. Jo Brass. Clevedon Community School, N Somerset, UK
  76. David Fishlock. Clevedon Community School, N Somerset, UK
  77. Sarah Rawlinson. Clevedon Community School, N Somerset, UK
  78. Donna Pallister. Clevedon Community School, N Somerset, UK
  79. Rachel Gale. Clevedon Community School, N Somerset, UK
  80. Vicky Keesey. Clevedon Community School, N Somerset, UK
  81. Jenna Britten. Clevedon Community School, N Somerset, UK
  82. David Painter-Kooiman. Clevedon Community School, N Somerset, UK
  83. Vicky Page. Clevedon Community School, N Somerset, UK
  84. Kathryn Naunton. Clevedon Community School, N Somerset, UK
  85. Kate Nicholas. Clevedon Community School, N Somerset, UK
  86. Katie Rawle. Clevedon Community School, N Somerset, UK
  87. Michael Soppitt. Clevedon Community School, N Somerset, UK
  88. Catherine Harrison. The Mount School, York, England, UK
  89. Nathaniel Pfeil. Midland Academy, Saginaw, MI
  90. Logan Zuniga. Frisbie MS, Rialto, CA
  91. Angela Smith. Frisbie MS, Rialto, CA
  92. Jennifer Gouailhardou. Frisbie MS, Rialto, CA
  93. Thomas Jackson. Frisbie MS, Rialto, CA
  94. Simon Pang. Crescent School, North York, ON, Canada
  95. Jennifer Cardona. Heritage Prep, Orlando, FL
  96. Josh Huckabee. Heritage Prep, Orlando, FL
  97. Paul Kim. Heritage Prep, Orlando, FL
  98. Erika Kranz. Rickards HS, Tallahassee, FL
  99. Belal Ghafari. Rickards HS, Tallahassee, FL
  100. Begem Lee. St. Anne's School, Porterville, CA
  101. Lauren Corkins. St. Anne's School, Porterville, CA
  102. Matt Charlan. Trinity Prep, Winter Park, FL
  103. Will Meyers. Moore MS, Redlands, CA
  104. Melissa Bomar. Corona del Sol HS, Tempe, AZ
  105. Victor Mocanu. College de Montreal, Montreal, Quebec, Canada
  106. Richard Heid. Lincoln Park HS, Chicago, IL
  107. Gerald Cody Bunch. Spanish River HS, Boca Raton, FL
  108. Joel Flaxman. Evanston Township HS, Evanston, IL
  109. Daniel Bauen. Alabama School of Fine Arts, Birmingham, AL
  110. Ing-Kye Sim. Applecross SHS, Perth, Western Australia, Australia
  111. Kashyap Patel. Lake Highland Prep, Orlando, FL
  112. Rudy Taute. Lake Highland Prep, Orlando, FL
  113. Tiago Mateus. St. Julians School, Lisbon, Portugal
  114. Marilyn Rucker. Jefferson HS, Dayton, OH