Julie wanted to finish reading a 154-page encyclopedia by the end of the week. On Monday she read
37 of the encyclopedia and by Friday the ratio of the number of pages read to the total number of pages was 8 : 11. Find the number of pages Julie would need to read during the weekend in order for her to complete the entire encyclopedia.
|
Read |
Unread |
Total |
Before |
3x11 = 33 u |
4x11 = 44 u |
7x11 = 77 u |
Change |
+ 23 u |
- 23 u |
|
After |
8x7 = 56 u |
3x7 = 21 u |
11x7 = 77 u |
The total pages of the encyclopedia remains the same. Make the total number of pages at first and in the end the same. LCM of 7 and 11 is 77
Total number of pages = 77 u
77 u = 154
1 u = 154 ÷ 77 = 2
Number of pages that Julie must read
= 21 u
= 21 x 2
= 42
Answer(s): 42