The average cost of some books is $29.
After 3 new books are added,
it adds another $15 to the total cost.
As a result, the average cost of all the books decreases to $23.
How many books are there at first?
|
Case 1 |
Case 2 |
Number |
1 u |
1 u + 3 |
Value |
29 |
23 |
Total value |
29 u |
23 u + 69 |
Number of books at first = 1 u
Number of books in the end = 1 u + 3
Total cost of books at first
= 29 x 1 u
= 29 u
Total cost of books in the end
= 23 x (1 u + 3)
= 23 u + 69
29 u + 15 = 23 u + 69
29 u - 23 u = 69 - 15
6 u = 54
1 u = 54 ÷ 6 = 9
Number of books at first = 9
Answer(s): 9