The average cost of some books is $80.
When another 4 books are added,
the total cost increases by $110.
The average cost becomes $70.
How many books are there in the end?
|
Case 1 |
Case 2 |
Number |
1 u |
1 u + 4 |
Value |
80 |
70 |
Total value |
80 u |
70 u + 280 |
Number of books at first = 1 u
Number of books in the end = 1 u + 4
Total cost of books at first
= 1 u x 80
= 80 u
Total cost of the books in the end
= 70 x (1 u + 4)
= 70 u + 280
80 u + 110 = 70 u + 280
80 u - 70 u = 280 - 110
10 u = 170
1 u = 170 ÷ 10 = 17
Number of books in the end
= 1 u + 4
= 17 + 4
= 21
Answer(s): 21