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Peter is reading a 193-page book. He has read three pages more than one-fourth of the number of pages he hasn’t yet read. How many pages has he not yet read?

 Nov 7, 2019
 #1
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Call the number of pages  he has read, R

Call the number of pages he hasn't read, 193 - R

 

So...we have that

 

R  =  3 + (1/4)(193 - R)       simplify

 

R  = 3 + 193/4  -  (1/4)R      add  (1/4)R  to both sides

 

(5/4)R  =  3 + 193/4          multiply through by  4

 

5R  =  12  +  193

 

5R  =  205       divide both sides by  5

 

R  =  41 = pages he has read

 

So ....  he hasn't  read  (193 - 41)   =  152  pages

 

Proof :

 

(1/4)  of the pages he hasn't read  = 152/4   = 38 pages

And 3 more than this  = 41  = pages he has read .....

 

 

cool cool cool

 Nov 7, 2019
edited by CPhill  Nov 7, 2019

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