The average number of pages Victoria read in a certain number of days was 13. In the next three days, Victoria read another 96 pages. As a result, the average number of pages she read increased to 16. How many days did Victoria read in total?
|
At first |
In the end |
Number |
1 u |
1 u + 3 |
Value |
13 |
16 |
Number x value |
13 u |
16 u + 48 |
Number of days that Victoria read at first = 1 u
Number of pages that Victoria read at first
= 1 u x 13
= 13 u
Number of pages that Victoria read in the end = 13 u + 96
Number of days that Victoria read in the end = 1 u + 3
Number of pages that Victoria read in the end
= 16 x (1 u + 3)
= 16 u + 48
16 u + 48 = 13 u + 96
16 u - 13 u = 96 - 48
3 u = 48
1 u = 48 ÷ 3 = 16
Number of days that Victoria read in the end
= 1 u + 3
= 16 + 3
= 19
Answer(s): 19