The average number of pages Jean read in a certain number of days was 17. In the next six days, Jean read another 45 pages. As a result, the average number of pages she read decreased to 14. How many days did Jean read in total?
| |
At first |
In the end |
| Number |
1 u |
1 u + 6 |
| Value |
17 |
14 |
| Number x value |
17 u |
14 u + 84 |
Number of days that Jean read at first = 1 u
Number of pages that Jean read at first
= 1 u x 17
= 17 u
Number of pages that Jean read in the end = 17 u + 45
Number of days that Jean read in the end = 1 u + 6
Number of pages that Jean read in the end
= 14 x (1 u + 6)
= 14 u + 84
17 u + 45 = 14 u + 84
17 u - 14 u = 84 - 45
3 u = 39
1 u = 39 ÷ 3 = 13
Number of days that Jean read in the end
= 1 u + 6
= 13 + 6
= 19
Answer(s): 19
