Gwen read
14 of the book. If she had read another 380 pages, she would have read
79 of the whole book altogether. How many pages were there in the book?
|
Read |
Not read |
Total |
Before |
1x9 = 9 u |
3x9 = 27 u |
4x9 = 36 u |
Change |
+ 380 |
- 380 |
|
After |
7x4 = 28 u |
2x4 = 8 u |
9x4 = 36 u |
The total number of pages remains unchanged. Make the total number of pages the same. LCM of 4 and 9 is 36.
Number of additional pages that Gwen would have read
= 28 u - 9 u
= 19 u
19 u = 380
1 u = 380 ÷ 19 = 20
Number of pages in the book
= 36 u
= 36 x 20
= 720
Answer(s): 720