The average number of pages Victoria read in a certain number of days was 14. In the next three days, Victoria read another 82 pages. As a result, the average number of pages she read increased to 22. How many days did Victoria read in total?
| |
At first |
In the end |
| Number |
1 u |
1 u + 3 |
| Value |
14 |
22 |
| Number x value |
14 u |
22 u + 66 |
Number of days that Victoria read at first = 1 u
Number of pages that Victoria read at first
= 1 u x 14
= 14 u
Number of pages that Victoria read in the end = 14 u + 82
Number of days that Victoria read in the end = 1 u + 3
Number of pages that Victoria read in the end
= 22 x (1 u + 3)
= 22 u + 66
22 u + 66 = 14 u + 82
22 u - 14 u = 82 - 66
8 u = 16
1 u = 16 ÷ 8 = 2
Number of days that Victoria read in the end
= 1 u + 3
= 2 + 3
= 5
Answer(s): 5
