The average number of pages Usha read in a certain number of days was 12. In the next six days, Usha read another 88 pages. As a result, the average number of pages she read increased to 14. How many days did Usha read in total?
|
At first |
In the end |
Number |
1 u |
1 u + 6 |
Value |
12 |
14 |
Number x value |
12 u |
14 u + 84 |
Number of days that Usha read at first = 1 u
Number of pages that Usha read at first
= 1 u x 12
= 12 u
Number of pages that Usha read in the end = 12 u + 88
Number of days that Usha read in the end = 1 u + 6
Number of pages that Usha read in the end
= 14 x (1 u + 6)
= 14 u + 84
14 u + 84 = 12 u + 88
14 u - 12 u = 88 - 84
2 u = 4
1 u = 4 ÷ 2 = 2
Number of days that Usha read in the end
= 1 u + 6
= 2 + 6
= 8
Answer(s): 8