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What if…

Sam read 1/5 of a book on the 1st day, 20 pages on the 2nd day and 1/6 of the remaining pages on the 3rd day. He read the remaining 1/2 of the book on the 4th day. How many pages were there in the book?

Show how you would find the answer to the problem.

 Jun 22, 2024
 #1
avatar+129733 
+1

Let P be the number of pages

 

(1/5)P  = 1st day

 

20 = second day

 

(1/6)( P - (1/5)P -20)  = (1/6) ((4/5)P - 20)   =  (2/15)P - 10/3  = third day

 

(1/2)P  = fourth day

 

(1/5)P + 20 + (2/15)P -10/3 = (1/2)P       multiply through by 60

 

12P + 1200 + 8P - 200 = 30P

 

1200 - 200 =  30P -20P

 

1000 = 10P                         

 

P  = 1000 / 10 =   100  pages

 

cool cool cool

 Jun 22, 2024

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