The average number of pages Kylie read in a certain number of days was 12. In the next three days, Kylie read another 96 pages. As a result, the average number of pages she read increased to 17. How many days did Kylie read in total?
| |
At first |
In the end |
| Number |
1 u |
1 u + 3 |
| Value |
12 |
17 |
| Number x value |
12 u |
17 u + 51 |
Number of days that Kylie read at first = 1 u
Number of pages that Kylie read at first
= 1 u x 12
= 12 u
Number of pages that Kylie read in the end = 12 u + 96
Number of days that Kylie read in the end = 1 u + 3
Number of pages that Kylie read in the end
= 17 x (1 u + 3)
= 17 u + 51
17 u + 51 = 12 u + 96
17 u - 12 u = 96 - 51
5 u = 45
1 u = 45 ÷ 5 = 9
Number of days that Kylie read in the end
= 1 u + 3
= 9 + 3
= 12
Answer(s): 12
