The average cost of some books is $60.
When another 4 books are added,
the total cost increases by $100.
The average cost becomes $50.
How many books are there in the end?
|
Case 1 |
Case 2 |
Number |
1 u |
1 u + 4 |
Value |
60 |
50 |
Total value |
60 u |
50 u + 200 |
Number of books at first = 1 u
Number of books in the end = 1 u + 4
Total cost of books at first
= 1 u x 60
= 60 u
Total cost of the books in the end
= 50 x (1 u + 4)
= 50 u + 200
60 u + 100 = 50 u + 200
60 u - 50 u = 200 - 100
10 u = 100
1 u = 100 ÷ 10 = 10
Number of books in the end
= 1 u + 4
= 10 + 4
= 14
Answer(s): 14