Question 519840: We always liked poking around Grandfather Moreno's attic, we always found all sort of stuff up there. We found a huge bunch of baseball cards. Grandfather said,"Just divide them up among the grandchildren." There were 5040 cards in all, so each of us got a huge batch of cards;but, then, Jose said that the Garcia family, who had five of Grandfather Moreno's grandchildren, hadn't arrived as yet; so, each of us present had to give up 75 cards so that all of the grandchildren would have the same number of cards. How many grandchildren does Grandfather Moreno have?
Use other numbers to confirm your answer. How many cards each, with respect to all of the grandchildren; how many cards each, before the Garcia family showed up?
Answer by scott8148(6628)   (Show Source):
You can put this solution on YOUR website! [5040 / (g - 5)] - 75 = 5040 / g
multiplying by g(g-5) ___ 5040g - 75g^2 + 375g = 5040g - 25200 ___ 0 = g^2 - 5g - 336
factoring ___ 0 = (g + 16)(g - 21)
g + 16 = 0 ___ g = -16 ___ negative value not realistic
g - 21 = 0 ___ g = 21
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