The average number of pages Zara read in a certain number of days was 16. In the next three days, Zara read another 93 pages. As a result, the average number of pages she read increased to 19. How many days did Zara read in total?
|
At first |
In the end |
Number |
1 u |
1 u + 3 |
Value |
16 |
19 |
Number x value |
16 u |
19 u + 57 |
Number of days that Zara read at first = 1 u
Number of pages that Zara read at first
= 1 u x 16
= 16 u
Number of pages that Zara read in the end = 16 u + 93
Number of days that Zara read in the end = 1 u + 3
Number of pages that Zara read in the end
= 19 x (1 u + 3)
= 19 u + 57
19 u + 57 = 16 u + 93
19 u - 16 u = 93 - 57
3 u = 36
1 u = 36 ÷ 3 = 12
Number of days that Zara read in the end
= 1 u + 3
= 12 + 3
= 15
Answer(s): 15