The average number of pages Gabby read in a certain number of days was 16. In the next seven days, Gabby read another 34 pages. As a result, the average number of pages she read decreased to 14. How many days did Gabby read in total?
|
At first |
In the end |
Number |
1 u |
1 u + 7 |
Value |
16 |
14 |
Number x value |
16 u |
14 u + 98 |
Number of days that Gabby read at first = 1 u
Number of pages that Gabby read at first
= 1 u x 16
= 16 u
Number of pages that Gabby read in the end = 16 u + 34
Number of days that Gabby read in the end = 1 u + 7
Number of pages that Gabby read in the end
= 14 x (1 u + 7)
= 14 u + 98
16 u + 34 = 14 u + 98
16 u - 14 u = 98 - 34
2 u = 64
1 u = 64 ÷ 2 = 32
Number of days that Gabby read in the end
= 1 u + 7
= 32 + 7
= 39
Answer(s): 39