The average cost of some books is $10.
After 2 new books are added,
it adds another $76 to the total cost.
As a result, the average cost of all the books increases to $17.
How many books are there at first?
|
Case 1 |
Case 2 |
Number |
1 u |
1 u + 2 |
Value |
10 |
17 |
Total value |
10 u |
17 u + 34 |
Number of books at first = 1 u
Number of books in the end = 1 u + 2
Total cost of books at first
= 10 x 1 u
= 10 u
Total cost of books in the end
= 17 x (1 u + 2)
= 17 u + 34
17 u + 34 = 10 u + 76
17 u - 10 u = 76 - 34
7 u = 42
1 u = 42 ÷ 7 = 6
Number of books at first
= 1 u
= 6
Answer(s): 6