The average number of pages Rachel read in a certain number of days was 14. In the next six days, Rachel read another 36 pages. As a result, the average number of pages she read decreased to 11. How many days did Rachel read in total?
| |
At first |
In the end |
| Number |
1 u |
1 u + 6 |
| Value |
14 |
11 |
| Number x value |
14 u |
11 u + 66 |
Number of days that Rachel read at first = 1 u
Number of pages that Rachel read at first
= 1 u x 14
= 14 u
Number of pages that Rachel read in the end = 14 u + 36
Number of days that Rachel read in the end = 1 u + 6
Number of pages that Rachel read in the end
= 11 x (1 u + 6)
= 11 u + 66
14 u + 36 = 11 u + 66
14 u - 11 u = 66 - 36
3 u = 30
1 u = 30 ÷ 3 = 10
Number of days that Rachel read in the end
= 1 u + 6
= 10 + 6
= 16
Answer(s): 16
