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Durham Intermediate School, Southlake, TX         Sixth Grade Mathematics         Lance.Mangham@southlakecarroll.edu


HOW MANY ENTRIES ARE IN THE DISTRICT 12 REAPING? The Hunger Games
  • 8000 residents in District 12
  • 30% of all residents are age 18 and under = 2400 children
  • Evenly distributed would mean there are 931 between age 12 and 18
  • About 133 would be at each age level
  • 68 boys and 65 girl as slightly more boys are born each year than girls
  • 75% of the children are from tessarae-taking families
  • Average tessarae family size = 4
  • The eldest child (up to 18) always takes the tessarae
  • 40% of the children are the oldest in their family still age 18 or under

    EXAMPLES

    12 Year Old Boys
    17 Merchant Children (No Tesserae; +1 Age Entry): 17 Entries
    20 Seam Children- Oldest Sibling (+4 Tesserae; +1 Age Entry): 100 Entries
    31 Seam Children- Younger Sibling (No Tesserae; +1 Age Entry): 31 Entries
    Total (12-13) Entries: 148

    12 Year Old Girls
    16 Merchant Children (No Tesserae; +1 Age Entry): 16 Entries
    20 Seam Children- Oldest Sibling (+4 Tesserae; +1 Age Entry): 100 Entries
    29 Seam Children- Younger Sibling (No Tesserae; +1 Age Entry): 29 Entries
    Total (12-13) Entries: 145

BOYS
    Age Boys Name slips Age Name Slips Additional Tessarae Slips Total Slips Percent chance of being drawn
    12 68 1 68 80 148 3.6%
    13 68 2 136 160 296 7.1%
    14 68 3 204 240 444 10.7%
    15 68 4 272 320 592 14.3%
    16 68 5 340 400 740 17.9%
    17 68 6 408 480 888 21.4%
    18 68 7 476 560 1036 25.0%
    Total 4144  

GIRLS
    Age Girls Name slips Age Name Slips Additional Tessarae Slips Total Slips Percent chance of being drawn
    12 65 1 65 80 145 3.6%
    13 65 2 130 160 290 7.1%
    14 65 3 195 240 435 10.7%
    15 65 4 260 320 580 14.3%
    16 65 5 325 400 725 17.9%
    17 65 6 390 480 870 21.4%
    18 65 7 455 560 1015 25.0%
    Total 4060  

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