Question

Kobe has collected 750 football cards and 660 baseball cards. He wants to divide them into piles so that each pile has only one type of​ card, there is the same number of cards in each​ pile, and each pile has the greatest possible number of cards. How many cards will be in each​ pile?

Answer 1

Answer: 30 cards

Step-by-step explanation:

To find the greatest possible number of cards in each pile such that there is the same number of cards in each​ pile we need to find the greatest common factor of 750 and 660.

Using Euclid division method , we have

$750=1(660)+90\\\\660=7(90)+30\\\\90=3(30)+0$

Hence, the greatest common factor of 750 and 660 = 30

Thus, there will be 30 cards in each pile.