Problem 16 · 2019 Math Kangaroo
Medium
Algebra & Patterns
sum-constraint
The pictures show how much 2 pieces of fruit cost altogether. The first three show pairs costing 5, 7 and 10 Taler. How much do the three fruits in the last picture cost altogether?
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Answer: D — 11 Taler
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Hint 1 of 2
Add the three given pair-prices together; each fruit then appears exactly twice.
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Hint 2 of 2
The last picture shows all three fruits, whose total is half of that combined sum.
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Approach: add the pairs, then halve
- The three given totals are 5, 7 and 10 Taler.
- Adding them gives 22, which counts each fruit twice.
- All three fruits together cost 22 ÷ 2 = 11 Taler (D).
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