Question 1042634: For the opening home game of the baseball season, the Madd Batters minor league baseball team offered the following incentives to its fans:
Every 75th fan who entered the stadium got a coupon for a free hot dog.
Every 30th fan who entered the stadium got a coupon for a free cup of soda.
Every 50th fan who entered the stadium got a coupon for a free bag of popcorn.
The stadium holds 4000 fans and was completely full for this game. How many of the fans at the game were lucky enough to receive all three free items?
Answer: 26 fans (How?)
Answer by josmiceli(19441)   (Show Source):
You can put this solution on YOUR website! You need the LCM, least common multiple of
75, 30, and 50
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The LCM is 150
30*5 = 150
50*3 = 150
75*2 = 150
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How many times does 
come around in a count to  ?
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So  fans get counted,
and 26 get all 3 items, then 
fans get counted. 1 fan get a hot dog, 3 fans get sodas,
2 fans get popcorn, but there would have to be
fans left after counting 3900, in order for the last fan to get
all 3 items once again
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check:
They don't make it to 27, so 26 is the answer
Hope I didn't confuse you. The numbers do
tell the story
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