The average cost of some books is $20.
After 2 new books are added,
it adds another $96 to the total cost.
As a result, the average cost of all the books increases to $27.
How many books are there at first?
|
Case 1 |
Case 2 |
Number |
1 u |
1 u + 2 |
Value |
20 |
27 |
Total value |
20 u |
27 u + 54 |
Number of books at first = 1 u
Number of books in the end = 1 u + 2
Total cost of books at first
= 20 x 1 u
= 20 u
Total cost of books in the end
= 27 x (1 u + 2)
= 27 u + 54
27 u + 54 = 20 u + 96
27 u - 20 u = 96 - 54
7 u = 42
1 u = 42 ÷ 7 = 6
Number of books at first
= 1 u
= 6
Answer(s): 6