Hazel read
29 of the manuscript. If she had read another 435 pages, she would have read
58 of the whole manuscript altogether. How many pages were there in the manuscript?
|
Read |
Not read |
Total |
Before |
2x8 = 16 u |
7x8 = 56 u |
9x8 = 72 u |
Change |
+ 435 |
- 435 |
|
After |
5x9 = 45 u |
3x9 = 27 u |
8x9 = 72 u |
The total number of pages remains unchanged. Make the total number of pages the same. LCM of 9 and 8 is 72.
Number of additional pages that Hazel would have read
= 45 u - 16 u
= 29 u
29 u = 435
1 u = 435 ÷ 29 = 15
Number of pages in the manuscript
= 72 u
= 72 x 15
= 1080
Answer(s): 1080