Barbara read
15 of the encyclopedia. If she had read another 160 pages, she would have read
59 of the whole encyclopedia altogether. How many pages were there in the encyclopedia?
|
Read |
Not read |
Total |
Before |
1x9 = 9 u |
4x9 = 36 u |
5x9 = 45 u |
Change |
+ 160 |
- 160 |
|
After |
5x5 = 25 u |
4x5 = 20 u |
9x5 = 45 u |
The total number of pages remains unchanged. Make the total number of pages the same. LCM of 5 and 9 is 45.
Number of additional pages that Barbara would have read
= 25 u - 9 u
= 16 u
16 u = 160
1 u = 160 ÷ 16 = 10
Number of pages in the encyclopedia
= 45 u
= 45 x 10
= 450
Answer(s): 450