Problem 6 · 2017 Math Kangaroo
Easy
Logic & Word Problems
work-backward
Jane, Kate and Lynn go for a walk. Jane walks at the very front, Kate in the middle and Lynn at the very back. Jane weighs 500 kg more than Kate, and Kate weighs 1000 kg less than Lynn. Which of the pictures shows Jane, Kate and Lynn in the right order?
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Answer: A
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Hint 1 of 2
Turn the weight clues into an order: who is heaviest and who is lightest?
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Hint 2 of 2
Jane is heavier than Kate, and Lynn is heavier still, so rank all three, then match the picture's front-to-back sizes.
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Approach: order the three by weight, then match to the row
- Jane = Kate + 500 and Lynn = Kate + 1000, so Lynn is heaviest, Jane is in the middle, Kate is lightest.
- Walking order is Jane (front), Kate (middle), Lynn (back).
- So the picture must show, front to back, a medium animal, then the smallest, then the largest.
- Only (A) matches.
Mark:
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