The average number of pages Fiona read in a certain number of days was 12. In the next five days, Fiona read another 92 pages. As a result, the average number of pages she read increased to 16. How many days did Fiona read in total?
| |
At first |
In the end |
| Number |
1 u |
1 u + 5 |
| Value |
12 |
16 |
| Number x value |
12 u |
16 u + 80 |
Number of days that Fiona read at first = 1 u
Number of pages that Fiona read at first
= 1 u x 12
= 12 u
Number of pages that Fiona read in the end = 12 u + 92
Number of days that Fiona read in the end = 1 u + 5
Number of pages that Fiona read in the end
= 16 x (1 u + 5)
= 16 u + 80
16 u + 80 = 12 u + 92
16 u - 12 u = 92 - 80
4 u = 12
1 u = 12 ÷ 4 = 3
Number of days that Fiona read in the end
= 1 u + 5
= 3 + 5
= 8
Answer(s): 8
