Winnie wanted to finish reading a 176-page manuscript by the end of the week. On Monday she read
38 of the manuscript 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 Winnie would need to read during the weekend in order for her to complete the entire manuscript.
|
Read |
Unread |
Total |
Before |
3x11 = 33 u |
5x11 = 55 u |
8x11 = 88 u |
Change |
+ 31 u |
- 31 u |
|
After |
8x8 = 64 u |
3x8 = 24 u |
11x8 = 88 u |
The total pages of the manuscript remains the same. Make the total number of pages at first and in the end the same. LCM of 8 and 11 is 88
Total number of pages = 88 u
88 u = 176
1 u = 176 ÷ 88 = 2
Number of pages that Winnie must read
= 24 u
= 24 x 2
= 48
Answer(s): 48