Problem 7 · 2014 Math Kangaroo
Medium
Fractions, Decimals & Percents
fraction-to-decimal
A bucket is filled halfway with water. A cleaning liquid adds another 2 litres of liquid to the bucket. Now the bucket is three-quarters full. How many litres in total can the bucket hold?
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Answer: B — 8 litres
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Hint 1 of 2
How much of the bucket did the 2 litres fill up?
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Hint 2 of 2
Going from half full to three-quarters full is one quarter of the bucket.
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Approach: match the added amount to the fraction it fills
- The level rose from 1/2 to 3/4, an increase of 1/4 of the bucket.
- That 1/4 equals 2 litres, so the whole bucket holds 4 × 2 = 8 litres.
Mark:
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