The average number of pages Gillian read in a certain number of days was 14. In the next three days, Gillian read another 82 pages. As a result, the average number of pages she read increased to 18. How many days did Gillian read in total?
|
At first |
In the end |
Number |
1 u |
1 u + 3 |
Value |
14 |
18 |
Number x value |
14 u |
18 u + 54 |
Number of days that Gillian read at first = 1 u
Number of pages that Gillian read at first
= 1 u x 14
= 14 u
Number of pages that Gillian read in the end = 14 u + 82
Number of days that Gillian read in the end = 1 u + 3
Number of pages that Gillian read in the end
= 18 x (1 u + 3)
= 18 u + 54
18 u + 54 = 14 u + 82
18 u - 14 u = 82 - 54
4 u = 28
1 u = 28 ÷ 4 = 7
Number of days that Gillian read in the end
= 1 u + 3
= 7 + 3
= 10
Answer(s): 10