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Five termites start munching through a log. Pixie is 19 mm ahead of Bitsie. Trixie is 5 mm ahead of Mixie. Mixie is twice as far ahead as Itsie. Itsie is 10 mm behind Bitsie. Mixie has eaten through 52 mm. Determine which termite has eaten the most.

User Jricher
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1 Answer

7 votes

Answer:

Trixie

Explanation:

  • Pixie is 19 mm ahead of Bitsie
  • itsie is 10 mm behind Bitsie .
    That means Bitsie is 10 mm ahead of Itsie
  • That means Pixie is 19 + 10 = 29 mm ahead of Itsie
  • Mixie is twice as far ahead as Itsie and has eaten through 52 mm
    Therefore Itsie has eaten through half as much or 26 mm
  • So Pixie has eaten through 26 + 29 = 55 mm which is 3 mm ahead of Mixie
  • Trixie is 5 mm ahead of Mixie so she has eaten through 52 + 5 = 57 mm
  • 57 is the largest number

Therefore Trixie has eaten the most

See the attached image for relative positions of the five termites

Five termites start munching through a log. Pixie is 19 mm ahead of Bitsie. Trixie-example-1
User PleasantD
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