Problem 15 · 2013 Math Kangaroo
Medium
Arithmetic & Operations
careful-counting
At the London 2012 Olympic Games the USA won the most medals: 46 gold, 29 silver and 29 bronze. China was second with 38 gold, 27 silver and 23 bronze. How many more medals did the USA win than China?
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Answer: C — 16
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Hint 1 of 3
Add up all of the USA's medals, then add up all of China's medals.
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Hint 2 of 3
The lighter way is to compare gold to gold, silver to silver, and bronze to bronze.
Still stuck? Show hint 3 →
Hint 3 of 3
Find each of those three differences and add the three differences together.
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Approach: compare each colour separately so the numbers stay small
- Gold: the USA had 46 and China had 38, that is 8 more gold.
- Silver: 29 against 27 is 2 more, and bronze: 29 against 23 is 6 more.
- Adding the three extras, 8 + 2 + 6 = 16 more medals, which is answer C.
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