The average cost of some books is $62.
When another 6 books are added,
the total cost increases by $180.
The average cost becomes $50.
How many books are there in the end?
|
Case 1 |
Case 2 |
Number |
1 u |
1 u + 6 |
Value |
62 |
50 |
Total value |
62 u |
50 u + 300 |
Number of books at first = 1 u
Number of books in the end = 1 u + 6
Total cost of books at first
= 1 u x 62
= 62 u
Total cost of the books in the end
= 50 x (1 u + 6)
= 50 u + 300
62 u + 180 = 50 u + 300
62 u - 50 u = 300 - 180
12 u = 120
1 u = 120 ÷ 12 = 10
Number of books in the end
= 1 u + 6
= 10 + 6
= 16
Answer(s): 16