The average number of pages Tammy read in a certain number of days was 19. In the next four days, Tammy read another 46 pages. As a result, the average number of pages she read decreased to 14. How many days did Tammy read in total?
|
At first |
In the end |
Number |
1 u |
1 u + 4 |
Value |
19 |
14 |
Number x value |
19 u |
14 u + 56 |
Number of days that Tammy read at first = 1 u
Number of pages that Tammy read at first
= 1 u x 19
= 19 u
Number of pages that Tammy read in the end = 19 u + 46
Number of days that Tammy read in the end = 1 u + 4
Number of pages that Tammy read in the end
= 14 x (1 u + 4)
= 14 u + 56
19 u + 46 = 14 u + 56
19 u - 14 u = 56 - 46
5 u = 10
1 u = 10 ÷ 5 = 2
Number of days that Tammy read in the end
= 1 u + 4
= 2 + 4
= 6
Answer(s): 6