Esther read
17 of the book. If she had read another 57 pages, she would have read
49 of the whole book altogether. How many pages were there in the book?
|
Read |
Not read |
Total |
Before |
1x9 = 9 u |
6x9 = 54 u |
7x9 = 63 u |
Change |
+ 57 |
- 57 |
|
After |
4x7 = 28 u |
5x7 = 35 u |
9x7 = 63 u |
The total number of pages remains unchanged. Make the total number of pages the same. LCM of 7 and 9 is 63.
Number of additional pages that Esther would have read
= 28 u - 9 u
= 19 u
19 u = 57
1 u = 57 ÷ 19 = 3
Number of pages in the book
= 63 u
= 63 x 3
= 189
Answer(s): 189