The average cost of some books is $75.
When another 3 books are added,
the total cost increases by $100.
The average cost becomes $70.
How many books are there in the end?
|
Case 1 |
Case 2 |
Number |
1 u |
1 u + 3 |
Value |
75 |
70 |
Total value |
75 u |
70 u + 210 |
Number of books at first = 1 u
Number of books in the end = 1 u + 3
Total cost of books at first
= 1 u x 75
= 75 u
Total cost of the books in the end
= 70 x (1 u + 3)
= 70 u + 210
75 u + 100 = 70 u + 210
75 u - 70 u = 210 - 100
5 u = 110
1 u = 110 ÷ 5 = 22
Number of books in the end
= 1 u + 3
= 22 + 3
= 25
Answer(s): 25