Problem 10 · 2017 Math Kangaroo
Medium
Logic & Word Problems
balance-scale
Four apples and one pear weigh as much as three pears. What is therefore correct?
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Answer: E — Two apples weigh as much as one pear.
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Hint 1 of 2
Take away one pear from each side of the balance.
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Hint 2 of 2
Four apples balance two pears, so halve both sides.
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Approach: cancel a pear from both sides, then halve
- 4 apples + 1 pear balances 3 pears.
- Remove one pear from each side: 4 apples balance 2 pears.
- Halve both sides: 2 apples balance 1 pear.
- So two apples weigh as much as one pear: E.
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