Kobe has collected 750 football cards and 660 baseball cards. He wants to divide them into piles so that each pile has only one

Question

3 years ago

11

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?

Mathematics

1 answer:

Harrizon [31] · Answer 1 · 2022-01-03T23:26:24+03:00

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.