The average number of pages Roshel read in a certain number of days was 14. In the next four days, Roshel read another 98 pages. As a result, the average number of pages she read increased to 16. How many days did Roshel read in total?
| |
At first |
In the end |
| Number |
1 u |
1 u + 4 |
| Value |
14 |
16 |
| Number x value |
14 u |
16 u + 64 |
Number of days that Roshel read at first = 1 u
Number of pages that Roshel read at first
= 1 u x 14
= 14 u
Number of pages that Roshel read in the end = 14 u + 98
Number of days that Roshel read in the end = 1 u + 4
Number of pages that Roshel read in the end
= 16 x (1 u + 4)
= 16 u + 64
16 u + 64 = 14 u + 98
16 u - 14 u = 98 - 64
2 u = 34
1 u = 34 ÷ 2 = 17
Number of days that Roshel read in the end
= 1 u + 4
= 17 + 4
= 21
Answer(s): 21
