Answer: The greatest number of cards you can place each packet = 3
There would be 7 packets of baseball cards and 4 packets of football cards.
Step-by-step explanation:
Given: Number of baseball cards =21
Number of football cards = 12
Each packet will have the same number of cards.
Each packet will have the cards for only one sport.
Then, the greatest number of cards you can place each packet = GCD (21,12) i.e. greatest common divisor of 21 and 12
Since 21 = 3 x 7 and 12 = 2 x2 x3
so, GCD(21, 12)=3
So, the greatest number of cards you can place each packet = 3
Number packets of baseball cards = [tex]\dfrac{21}{3}=7[/tex]
Number packets of football cards = [tex]\dfrac{12}{3}=4[/tex]
So, there would be 7 packets of baseball cards and 4 packets of football cards.
