The average number of pages Hilda read in a certain number of days was 20. In the next six days, Hilda read another 50 pages. As a result, the average number of pages she read decreased to 18. How many days did Hilda read in total?
| |
At first |
In the end |
| Number |
1 u |
1 u + 6 |
| Value |
20 |
18 |
| Number x value |
20 u |
18 u + 108 |
Number of days that Hilda read at first = 1 u
Number of pages that Hilda read at first
= 1 u x 20
= 20 u
Number of pages that Hilda read in the end = 20 u + 50
Number of days that Hilda read in the end = 1 u + 6
Number of pages that Hilda read in the end
= 18 x (1 u + 6)
= 18 u + 108
20 u + 50 = 18 u + 108
20 u - 18 u = 108 - 50
2 u = 58
1 u = 58 ÷ 2 = 29
Number of days that Hilda read in the end
= 1 u + 6
= 29 + 6
= 35
Answer(s): 35
