The average cost of some books is $27.
After 5 new books are added,
it adds another $16 to the total cost.
As a result, the average cost of all the books decreases to $20.
How many books are there at first?
|
Case 1 |
Case 2 |
Number |
1 u |
1 u + 5 |
Value |
27 |
20 |
Total value |
27 u |
20 u + 100 |
Number of books at first = 1 u
Number of books in the end = 1 u + 5
Total cost of books at first
= 27 x 1 u
= 27 u
Total cost of books in the end
= 20 x (1 u + 5)
= 20 u + 100
27 u + 16 = 20 u + 100
27 u - 20 u = 100 - 16
7 u = 84
1 u = 84 ÷ 7 = 12
Number of books at first = 12
Answer(s): 12