The average number of pages Elyse read in a certain number of days was 12. In the next three days, Elyse read another 96 pages. As a result, the average number of pages she read increased to 18. How many days did Elyse read in total?
| |
At first |
In the end |
| Number |
1 u |
1 u + 3 |
| Value |
12 |
18 |
| Number x value |
12 u |
18 u + 54 |
Number of days that Elyse read at first = 1 u
Number of pages that Elyse read at first
= 1 u x 12
= 12 u
Number of pages that Elyse read in the end = 12 u + 96
Number of days that Elyse read in the end = 1 u + 3
Number of pages that Elyse read in the end
= 18 x (1 u + 3)
= 18 u + 54
18 u + 54 = 12 u + 96
18 u - 12 u = 96 - 54
6 u = 42
1 u = 42 ÷ 6 = 7
Number of days that Elyse read in the end
= 1 u + 3
= 7 + 3
= 10
Answer(s): 10
