math logic
posted by gina .
There were 1320 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?
we thought the answer was 440. 1320/6=220. Then 1320220=1100. then 1100/5=220. then subtract 1100220=880 nd so on...does that make sense?

see the solution I gave to your question earlier.
http://www.jiskha.com/display.cgi?id=1224212047 
Assuming that they can have no more than one defect, the fraction with no defects is
(1 1/3)*(1 1/4)*(1 1/5)*(1 1/6)
= (2/3)(3/4)(4/5)(5/6) = 120/360 = 1/3
1/3 of 1320 is 440
A different answer could be obtained by assuming the defects occur at regular intervals in a lineup. In this case, multiple defects would be possible for some pumpkins. 
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