Problem 9 · 2018 Math Kangaroo
Medium
Logic & Word Problems
deductionguess-and-check
Diana shoots 3 darts, three times, at a target board with two fields. The first time she scores 12 points, the second time 15. The number of points depends on which field she hits. How many points does she score the third time?
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Answer: D — 21
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Hint 1 of 2
There are only two prizes: a dart in the small middle circle is worth one amount, a dart in the big ring is worth another.
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Hint 2 of 2
In the first picture all three darts are in the ring; in the second one dart has moved into the middle — see how much the score jumped.
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Approach: read each picture to find the ring value and the middle value, then score the third throw
- First picture: all 3 darts are in the big ring and score 12, so each ring dart is worth 12 ÷ 3 = 4.
- Second picture: one dart moved into the middle and the score went from 12 up to 15, so the middle is worth 4 + 3 = 7.
- Third picture: all 3 darts are in the middle, so the score is 7 + 7 + 7 = 21, answer D.
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