Problem 6 · 2011 Math Kangaroo
Medium
Fractions, Decimals & Percents
area-fraction
1000 litres of water is passed through the water system shown, into two identical tanks. At each junction the water separates into two equal amounts. How many litres of water end up in Tank Y?
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Answer: B — 750
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Hint 1 of 2
At every junction the water splits into two equal halves.
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Hint 2 of 2
Trace what fraction of the original 1000 litres ends up flowing into Tank Y.
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Approach: track the halving fractions along the paths to Y
- The 1000 litres repeatedly splits in half at each junction.
- Following the pipes, three quarters of the water is routed toward Tank Y and one quarter toward Tank X.
- So Tank Y receives \(\frac{3}{4}\) of 1000 = 750 litres.
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