Answer:
To find the answer, we have to divide each item in a way that gives us equal groups on each plate, that is, we have to find a divisor for each item that give us the same result. So, we are gonna test several division until find the answer:
Muffins.
96/2=48
96/3=32
96/4=24
96/8=12
That is, dividing all muffins in 8 plates we would have 12 muffins per plate.
Breadsticks.
48/2=24
48/4=12
That is, dividing all breadsticks in 4 plates we would have 12 breadsticks per plate.
Rolls.
84/2=42
84/3=28
84/4=21
84/6=16
84/7=12
By dividing all rolls in 7 plates, we would have 12 rolls per plate.
Therefore, we need 8 plates for muffins, 4 plates for breadsticks and 7 plates for rolls, with this arrangement, all plates will have the same amount of items, 12 per plate.