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kobe has collected 300 football cards and 120 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 ?

Sagot :

ANWSER

20

Step-by-step explanation:

Given the condition 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, by calculating greatest common factor (GCF), each pile should have 60 cards each.

What is greatest common factor?

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.

Number of football cards collected by Kobe = m = 300

Number of baseball cards collected by Kobe = n = 120

GCF (m, n) = LCM(300, 120) =

300 = 2 x 2 x 3 x 5 x 5

120 = 2 x 2 x 2 x 3 x 5

GCF (300, 120) = 2 x 2 x 3 x 5 = 60

Greatest common factor of 300 and 120 = 60

Thus 60 cards in each pile will satisfy all conditions given in the question.

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