SOLUTION: Mr. Hogan read 10 pages of a book on Monday. He read 1/3 of the remainder on Wednesday. If he still had 24 pages to read, how many pages were there in the book?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Mr. Hogan read 10 pages of a book on Monday. He read 1/3 of the remainder on Wednesday. If he still had 24 pages to read, how many pages were there in the book?      Log On


   

Question 98059: Mr. Hogan read 10 pages of a book on Monday. He read 1/3 of the remainder on Wednesday. If he still had 24 pages to read, how many pages were there in the book?
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
10+1/3(x-10)+24=x
10+x/3-10/3+24=x
x/3-x=-24-10+10/3
-2x/3=(-24*3-10*3+10)/3) cancel out the 3 in the denominators;
-2x=-72-30+10
2x=92
x=92/2
x=46 pages in the book.
proof.
10+1/3(46-10)+24=46
10+1/3*36+24=46
10+12+24=46
46=46