Nora read
16 of the manuscript. If she had read another 437 pages, she would have read
57 of the whole manuscript altogether. How many pages were there in the manuscript?
|
Read |
Not read |
Total |
Before |
1x7 = 7 u |
5x7 = 35 u |
6x7 = 42 u |
Change |
+ 437 |
- 437 |
|
After |
5x6 = 30 u |
2x6 = 12 u |
7x6 = 42 u |
The total number of pages remains unchanged. Make the total number of pages the same. LCM of 6 and 7 is 42.
Number of additional pages that Nora would have read
= 30 u - 7 u
= 23 u
23 u = 437
1 u = 437 ÷ 23 = 19
Number of pages in the manuscript
= 42 u
= 42 x 19
= 798
Answer(s): 798