The average number of pages Winnie read in a certain number of days was 14. In the next four days, Winnie read another 98 pages. As a result, the average number of pages she read increased to 17. How many days did Winnie read in total?
| |
At first |
In the end |
| Number |
1 u |
1 u + 4 |
| Value |
14 |
17 |
| Number x value |
14 u |
17 u + 68 |
Number of days that Winnie read at first = 1 u
Number of pages that Winnie read at first
= 1 u x 14
= 14 u
Number of pages that Winnie read in the end = 14 u + 98
Number of days that Winnie read in the end = 1 u + 4
Number of pages that Winnie read in the end
= 17 x (1 u + 4)
= 17 u + 68
17 u + 68 = 14 u + 98
17 u - 14 u = 98 - 68
3 u = 30
1 u = 30 ÷ 3 = 10
Number of days that Winnie read in the end
= 1 u + 4
= 10 + 4
= 14
Answer(s): 14
