SOLUTION: There were 840 pumpkins in a pumpkin patch, but it was difficult for farmer Joe to find the perfect pumpkin. • Every third pumpkin was too small. • Every fourth pumpkin was t

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Question 228306: There were 840 pumpkins in a pumpkin patch,
but it was difficult for farmer Joe to find the
perfect pumpkin.
• Every third pumpkin was too small.
• Every fourth pumpkin was too green.
• Every fifth pumpkin had a broken stem.
• Every sixth pumpkin had the wrong shape.
How many perfect pumpkins did farmer Joe find
in the pumpkin patch?

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
With the restriction that each pumpkin has one flaw, my approach is appropriate.
Otherwise all the rejected pumpkins could have 2,3 or 4 flaws.
For that solution I neither have the skills nor the time. Sorry.
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1/3+1/4+1/5+1/6
(20+15+12+10)/60
57/60
19/20 thus 1/20 or .05 or 5% are perfect pumpkins.