Final answer:
To find the greatest number of platters they can make, divide the total number of legs and thighs by the number on each platter and take the highest whole number.
Step-by-step explanation:
To find the greatest number of platters they can make, we need to determine the common number of legs and thighs.
Since each platter will have the same number of legs and thighs, we can divide the total number of legs and thighs by the number of each on each platter and take the highest whole number.
Let's calculate:
Number of legs on each platter=96/legs per platter
Number of thighs on each platter=144/thighs per platter
The greatest number of platters they can make is the minimum of the two calculated values.