🦘 Math Kangaroo Grade All Felix 1-2 Ecolier 3-4 Benjamin 5-6 Kadett 7-8 Junior 9-10 Student 11-12 ⇄ switch contest
2021 Math Kangaroo

Problem 22

Problem 22 · 2021 Math Kangaroo Stretch
Counting & Probability careful-counting

Each participant in a cooking contest baked one tray of cookies like the one shown beside. What is the smallest number of trays of cookies needed to make the following plate?

Figure for Math Kangaroo 2021 Problem 22
Show answer
Answer: C — 3
Show hints
Hint 1 of 3
Count how many of each kind of cookie the big plate needs.
Still stuck? Show hint 2 →
Hint 2 of 3
Now see how many of each kind you get from just one tray.
Still stuck? Show hint 3 →
Hint 3 of 3
The kind of cookie you need the most of decides how many trays you must bake.
Show solution
Approach: compare each cookie type to what one tray gives
  1. Count each kind of cookie on the plate, and count how many of that kind one tray makes.
  2. For each kind, see how many trays it would take, then pick the biggest of those numbers.
  3. Three trays are enough to cover every kind, so the answer is 3.
Mark: · log in to save