Jen read
19 of the encyclopedia. If she had read another 418 pages, she would have read
57 of the whole encyclopedia altogether. How many pages were there in the encyclopedia?
|
Read |
Not read |
Total |
Before |
1x7 = 7 u |
8x7 = 56 u |
9x7 = 63 u |
Change |
+ 418 |
- 418 |
|
After |
5x9 = 45 u |
2x9 = 18 u |
7x9 = 63 u |
The total number of pages remains unchanged. Make the total number of pages the same. LCM of 9 and 7 is 63.
Number of additional pages that Jen would have read
= 45 u - 7 u
= 38 u
38 u = 418
1 u = 418 ÷ 38 = 11
Number of pages in the encyclopedia
= 63 u
= 63 x 11
= 693
Answer(s): 693