Tiffany read
27 of the encyclopedia. If she had read another 493 pages, she would have read
710 of the whole encyclopedia altogether. How many pages were there in the encyclopedia?
|
Read |
Not read |
Total |
Before |
2x10 = 20 u |
5x10 = 50 u |
7x10 = 70 u |
Change |
+ 493 |
- 493 |
|
After |
7x7 = 49 u |
3x7 = 21 u |
10x7 = 70 u |
The total number of pages remains unchanged. Make the total number of pages the same. LCM of 7 and 10 is 70.
Number of additional pages that Tiffany would have read
= 49 u - 20 u
= 29 u
29 u = 493
1 u = 493 ÷ 29 = 17
Number of pages in the encyclopedia
= 70 u
= 70 x 17
= 1190
Answer(s): 1190