The average number of pages Wendy read in a certain number of days was 14. In the next three days, Wendy read another 87 pages. As a result, the average number of pages she read increased to 19. How many days did Wendy read in total?
|
At first |
In the end |
Number |
1 u |
1 u + 3 |
Value |
14 |
19 |
Number x value |
14 u |
19 u + 57 |
Number of days that Wendy read at first = 1 u
Number of pages that Wendy read at first
= 1 u x 14
= 14 u
Number of pages that Wendy read in the end = 14 u + 87
Number of days that Wendy read in the end = 1 u + 3
Number of pages that Wendy read in the end
= 19 x (1 u + 3)
= 19 u + 57
19 u + 57 = 14 u + 87
19 u - 14 u = 87 - 57
5 u = 30
1 u = 30 ÷ 5 = 6
Number of days that Wendy read in the end
= 1 u + 3
= 6 + 3
= 9
Answer(s): 9