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Julie read 52 pages of a book on Monday. On Tuesday, she read1/6 of the remaining pages.If she still had half of the book left to be read, how many pages were there in the book?

Sagot :

There were a total of 130 pages.

Let the total number of pages be x

Monday: 52 pages read
Tuesday:1/6 (x - 52)  or   x/6 - 52/6 pages read
Remaining pages left to be read:   1/2 (x)  

Equation:

52 + (x/6 - 52/6) + 1/2(x) = x

LCD: (6) (2)

52 (6)(2) + 2x - 104 + 6x = x (6)(2)

624 - 104 + 2x + 6x = 12x

520 + 8x = 12x

520 = 12x - 8x

520 = 4x

520/4 = 4x/4

x = 130 pages

To check:

Monday:  52 pages
Tuesday:  1/6 (130-52) = 1/6 (78) = 13 pages
Pages left to be read:  1/2 (130) = 65 pages

Add the pages:

52 + 13 + 65 = 130
130 = 130