The average cost of some books is $40.
When a book that costs $100 is added,
the average cost of the books becomes $44.
How many books are there in the end?
|
Case 1 |
Case 2 |
Number |
1 u |
1 u + 1 |
Value |
40 |
44 |
Total value |
40 u |
44 u + 44 |
Number of books at first = 1 u
Number of books in the end = 1 u + 1
Total cost of the books at first
= 40 x 1 u
= 40 u
Total cost of books in the end
= 40 u + 100
Total cost of books in the end
= 44 x (1 u + 1)
= 44 u + 44
40 u + 100 = 44 u + 44
44 u - 40 u = 100 - 44
4 u = 56
1 u = 56 ÷ 4 = 14
Number of books in the end
= 1 u + 1
= 14 + 1
= 15
Answer(s): 15