Question

On a Sunday , a football team give away souvenir footballs to each person entering the football stadium. one group received 42 footballs. A second group received 54 souvenir footballs . If each person entering the stadium received the same number of footballs , what was the greatest possible number of footballs that each ñ person could have received

Answer 1

Using the greatest common factor, it is found that the greatest possible number of footballs that each could have received is of 6.

Greatest common factor:

• To find the greatest possible value divided equally between two amounts, we have to find the greatest common factor of the two amounts.

In this problem, the amounts of footballs are of 42 and 54, hence:

42 - 54|2

21 - 27|3

7 - 9

Then, gcf(42, 54) = 2 x 3 = 6, which means that the greatest possible number of footballs that each could have received is of 6.

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