The average number of pages Hazel read in a certain number of days was 16. In the next three days, Hazel read another 96 pages. As a result, the average number of pages she read increased to 18. How many days did Hazel read in total?
| |
At first |
In the end |
| Number |
1 u |
1 u + 3 |
| Value |
16 |
18 |
| Number x value |
16 u |
18 u + 54 |
Number of days that Hazel read at first = 1 u
Number of pages that Hazel read at first
= 1 u x 16
= 16 u
Number of pages that Hazel read in the end = 16 u + 96
Number of days that Hazel read in the end = 1 u + 3
Number of pages that Hazel read in the end
= 18 x (1 u + 3)
= 18 u + 54
18 u + 54 = 16 u + 96
18 u - 16 u = 96 - 54
2 u = 42
1 u = 42 ÷ 2 = 21
Number of days that Hazel read in the end
= 1 u + 3
= 21 + 3
= 24
Answer(s): 24
