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2022 Math Kangaroo

Problem 8

Problem 8 · 2022 Math Kangaroo Medium
Fractions, Decimals & Percents fraction-to-decimal

How much does this Ferris wheel need to turn so that a white gondola is on top for the first time?

Figure for Math Kangaroo 2022 Problem 8
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Answer: D112 turn
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Hint 1 of 2
The gondolas are spread evenly around the wheel, so one step from gondola to gondola is always the same part of a full turn.
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Hint 2 of 2
Find the white gondola that is closest to the top and see how many steps it takes to get there.
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Approach: use the even spacing of the gondolas
  1. The wheel has 12 gondolas spaced evenly, so turning by one gondola is 112 of a full turn.
  2. The white gondola nearest the top is just one position away, so the wheel only needs to turn by one step.
  3. That is 112 turn.
  4. So the answer is D.
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