Problem 3 · 2018 Math Kangaroo
Easy
Arithmetic & Operations
sum-constraint
If you hit the target board you score points. The number of points depends on which of the three areas you hit. Diana throws two darts, three times, at the target board. On the first attempt she scores 14 points and on the second 16 points. How many points does she score on the third attempt?
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Answer: B — 18
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Hint 1 of 2
Two darts land in the ringed areas, so each total is a sum of two of the ring values.
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Hint 2 of 2
Use the 14 and 16 totals to pin down the ring values, then find the largest two-ring total for the third throw.
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Approach: find the ring point-values from the given totals, then read off the third
- Each throw is two darts, so a score is the sum of two ring values.
- The first total 14 and the second total 16 force the ring values (the rings are worth more as you go inward).
- The two darts in the third picture both land in the highest-value ring.
- Their sum is 18 points.
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