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2013 Math Kangaroo

Problem 3

Problem 3 · 2013 Math Kangaroo Easy
Fractions, Decimals & Percents proportion

How far must Maria walk to reach her friend Bianca? The bracket shows that the first 100 m reaches the ⅛ mark of the whole walk.

Figure for Math Kangaroo 2013 Problem 3
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Answer: C — 800 m
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Hint 1 of 3
Look at how many equal steps the whole path is split into along the road.
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Hint 2 of 3
The marked 100 m covers just one of those equal steps.
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Hint 3 of 3
If 100 m is one step and there are 8 equal steps, multiply to get the whole walk.
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Approach: use the fraction the 100 m piece represents
  1. The road is split into 8 equal pieces, and the labelled 100 m covers exactly one piece.
  2. So the whole walk is 8 of those pieces: \(8 \times 100 = 800\) m, which is choice C.
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