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 1320-220=1100. then 1100/5=220. then subtract 1100-220=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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Yes, I understand your calculation method. However, it seems like there might be a small error in your calculations. Let's break it down step by step to find the correct answer.
To find the number of perfect pumpkins, we need to find the numbers that are divisible by neither 3, 4, 5, nor 6.
First, let's calculate how many pumpkins meet the criteria for being too small, too green, having a broken stem, or the wrong shape.
Every third pumpkin is too small, so we divide 1320 by 3 to find the number of pumpkins that are too small: 1320 / 3 = 440.
Every fourth pumpkin is too green, so we divide 1320 by 4 to find the number of pumpkins that are too green: 1320 / 4 = 330.
Every fifth pumpkin has a broken stem, so we divide 1320 by 5 to find the number of pumpkins with a broken stem: 1320 / 5 = 264.
Every sixth pumpkin has the wrong shape, so we divide 1320 by 6 to find the number of pumpkins with the wrong shape: 1320 / 6 = 220.
Now, to find the total number of pumpkins that meet any of these four criteria, we add these numbers together: 440 + 330 + 264 + 220 = 1254.
Finally, to find the number of perfect pumpkins, we subtract the number of flawed pumpkins from the total number of pumpkins in the patch: 1320 - 1254 = 66.
Therefore, farmer Joe found 66 perfect pumpkins in the pumpkin patch.