Answer:
Casey should use 16 baskets and put 4 red peppers 1 yellow pepper into each one of them.
Explanation:
Greatest Common Divisor (GCD)
The GCD of x and y is the maximum possible number that evenly divides both of them.
For example, GCM(36,48) is 12 because 36/12 is a whole number and 48/12 is also a whole number and 12 is the greatest of all possible candidates. Note that 6 is also a common divisor (36/6 and 48/6 are whole numbers), but it's not the maximum.
Casey has 48 red peppers and 16 yellow peppers. Since he wants to put them into baskets in such a way that each basket has the same number of red peppers and the same number of yellow peppers, we must find the greatest divisor for both numbers to maximize the number of baskets.
The GCM(48,16) is 16. Number of red peppers per basket=48/16=4. Number of yellow peppers per basket=16/16=1, thus:
Casey should use 16 baskets and put 4 red peppers 1 yellow pepper into each one of them.