Extra credit doozie

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PRMAN1214

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Sep 16, 2010
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A mischievous math class decided to rebel by throwing their pencils out the window. One sixth of the students threw 5 pencils each, one half threw 4 pencils each, one student threw 6 pencils, and the rest threw 2 pencils each. Of the pencils thrown, 75% of them went out the window (the rest missed) When the students got caught they had to collect all the pencils that went out the window. They collected all 66 that went out, so how many students were in the class?
 


Please don't triple post.

Please read the post titled, "Read Befoe Posting".

 
PRMAN1214 said:
A mischievous math class decided to rebel by throwing their pencils out the window. One sixth of the students threw 5 pencils each, one half threw 4 pencils each, one student threw 6 pencils, and the rest threw 2 pencils each. Of the pencils thrown, 75% of them went out the window (the rest missed) When the students got caught they had to collect all the pencils that went out the window. They collected all 66 that went out, so how many students were in the class?
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Please show us your work, indicating exactly where you are stuck - so that we may know where to begin to help you.
 
Note, since 66 went out the window and that was 75% of the total, there were 88 thrown altogether.

Let x=the total number of students and try to set it up. Can you get anywhere with it now?.

i.e. one-sixth of the students threw 5 each. \(\displaystyle 5\cdot \frac{x}{6}\)
 
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