Erika read
14 of the encyclopedia. If she had read another 42 pages, she would have read
56 of the whole encyclopedia altogether. How many pages were there in the encyclopedia?
|
Read |
Not read |
Total |
Before |
1x3 = 3 u |
3x3 = 9 u |
4x3 = 12 u |
Change |
+ 42 |
- 42 |
|
After |
5x2 = 10 u |
1x2 = 2 u |
6x2 = 12 u |
The total number of pages remains unchanged. Make the total number of pages the same. LCM of 4 and 6 is 12.
Number of additional pages that Erika would have read
= 10 u - 3 u
= 7 u
7 u = 42
1 u = 42 ÷ 7 = 6
Number of pages in the encyclopedia
= 12 u
= 12 x 6
= 72
Answer(s): 72