Problem 13 · 2019 Math Kangaroo
Medium
Logic & Word Problems
caseworksum-constraint
Together the three squirrels Anni, Asia and Elli have 10 nuts. Each one has a different number of nuts, but at least 2 nuts. Anni has the least number of nuts. Asia has the most nuts. How many nuts does Elli have?
Show answer
Answer: C — 3
Show hints
Hint 1 of 2
Anni has the fewest and each squirrel has at least 2, so start Anni as low as allowed.
Still stuck? Show hint 2 →
Hint 2 of 2
Try the smallest possible numbers that are all different and add to 10, then read Elli's amount.
Show solution
Approach: use the smallest distinct amounts that sum to 10
- All three numbers are different, each at least 2, and they add to 10.
- Anni has the fewest, so try Anni = 2; then Elli and Asia must add to 8 with Asia largest.
- The only way is Elli = 3 and Asia = 5 (all different, Asia most).
- So Elli has 3 nuts, and the answer is C.
Mark:
· log in to save