The average number of pages Eva read in a certain number of days was 14. In the next six days, Eva read another 20 pages. As a result, the average number of pages she read decreased to 10. How many days did Eva read in total?
| |
At first |
In the end |
| Number |
1 u |
1 u + 6 |
| Value |
14 |
10 |
| Number x value |
14 u |
10 u + 60 |
Number of days that Eva read at first = 1 u
Number of pages that Eva read at first
= 1 u x 14
= 14 u
Number of pages that Eva read in the end = 14 u + 20
Number of days that Eva read in the end = 1 u + 6
Number of pages that Eva read in the end
= 10 x (1 u + 6)
= 10 u + 60
14 u + 20 = 10 u + 60
14 u - 10 u = 60 - 20
4 u = 40
1 u = 40 ÷ 4 = 10
Number of days that Eva read in the end
= 1 u + 6
= 10 + 6
= 16
Answer(s): 16
