The average cost of some books is $10.
After 3 new books are added,
it adds another $75 to the total cost.
As a result, the average cost of all the books increases to $15.
How many books are there at first?
|
Case 1 |
Case 2 |
Number |
1 u |
1 u + 3 |
Value |
10 |
15 |
Total value |
10 u |
15 u + 45 |
Number of books at first = 1 u
Number of books in the end = 1 u + 3
Total cost of books at first
= 10 x 1 u
= 10 u
Total cost of books in the end
= 15 x (1 u + 3)
= 15 u + 45
15 u + 45 = 10 u + 75
15 u - 10 u = 75 - 45
5 u = 30
1 u = 30 ÷ 5 = 6
Number of books at first
= 1 u
= 6
Answer(s): 6