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Grade 5 puzzle 10: Equal grouping from chart totals

A free grade 5 math puzzle that teaches Equal grouping from chart totals. Try it first — the hint and the full solution open when you are ready.

Problem 10 · Equal grouping from chart totals · 4 points

Made by AI and not reviewed by a real person.

The chart shows cups of lemonade, juice, and water sold at the fair. If all the cups are put onto as many identical trays as possible, with every tray holding all three drinks, how many cups will be on each tray?

bar chart: lemonade 12, juice 8, water 16 cups
  1. 36
  2. 18
  3. 4
  4. 9
  5. 12
Show a hint
  • Which numbers of trays would let you share out every kind of drink evenly, with none left over?
  • Find the greatest number of trays that works for all three chart values, then work out what goes on one tray.
Show the answer and solution

Answer: D — 9

The greatest number of trays that divides 12 lemonade cups, 8 juice cups, and 16 water cups evenly is 4. Each tray holds 3 lemonade, 2 juice, and 4 water cups, for a total of 9. The tempting answer 36 counts cups on all the trays, not on one tray.

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