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CastleRook
This is the concept of algebra. Given that Holly has 30 pencils, the total number of pencils that Holly remained with after she gave her friends 6 pencils are:
Total=30-6=24 pencils 
The fraction of pencils that need to be sharpened is 3/8
The number of pencils represented by this fraction will be:
(fraction of un-sharpened pencils)×(total number of remaining pencils)
3/8×24
=9 pencils
therefore we conclude that 9 pencils are not sharpened.
hisroyal1

Answer: 9 pencils

 

SOLUTION

 

Given,

Holly had 30 pencils

 

If she gave 6 pencils to her friends,

Remaining pencils = 30 – 6

= 24 pencils

 

We are told that 3/8 of her pencils need to be sharpened

Since she has 24 pencils left,

The number of pencils that need to be sharpened = 3/8 of 24

= 3/8 x 24

= (3 x 24)/8

= 72/8

= 9 pencils

 

Therefore, the number of Holly’s pencils that need to be sharpened is 9.

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