Question

Saturday a minor league baseball team gave away baseball cards to each person entering the stadium.On group recieved 28 baseball cards.A second group recieved 84 baseball cards.If each person entering the stadium recieved the same number lf baseball cards, what is the greatest number of baseballs cards they could have recieved?Rewrite using distrubutive property

Answer 1

Answer: 28

Explanation:

Given: First group received 28 baseball cards and second group received 84 baseball cards.

Total cards= 28+84 =112

If each person entering the stadium received the same number , the greatest number of baseballs cards they could have received = G.C.D. (28,84,112)

[G.C.D. = greatest common divisor]

Since the prime factorization of 28 , 84 and 112 are as follows

28 = 2 x 2 x7

84 = 2 x 2 x 3 x 7

112 = 2 x 2 x 2 x 2 x 7

G.C.D (28, 84, 112 )= 2 x 2 x7 = 28

The greatest number of baseballs cards they could have received = 28