The average cost of some books is $24.
After 5 new books are added,
it adds another $12 to the total cost.
As a result, the average cost of all the books decreases to $15.
How many books are there at first?
|
Case 1 |
Case 2 |
Number |
1 u |
1 u + 5 |
Value |
24 |
15 |
Total value |
24 u |
15 u + 75 |
Number of books at first = 1 u
Number of books in the end = 1 u + 5
Total cost of books at first
= 24 x 1 u
= 24 u
Total cost of books in the end
= 15 x (1 u + 5)
= 15 u + 75
24 u + 12 = 15 u + 75
24 u - 15 u = 75 - 12
9 u = 63
1 u = 63 ÷ 9 = 7
Number of books at first = 7
Answer(s): 7