The average cost of some books is $32.
If 4 of the books are now each $15 more,
the average cost of the books becomes $35.
How many books are there altogether?
|
Case 1 |
Case 2 |
Number |
1 u |
1 u |
Value |
32 |
35 |
Total value |
32 u |
35 u |
Number of books at first = 1 u
Number of books in the end = 1 u
Total cost of the books at first
= 32 x 1 u
= 32 u
Total cost of books in the end
= 35 x 1 u
= 35 u
Increase in the cost when 4 books are now each $15 more
= 4 x 15
= $60
Total cost of books after 4 books are now each $15 more
= 32 u + 60
35 u = 32 u + 60
35 u - 32 u = 60
3 u = 60
1 u = 60 ÷ 3 = 20
Number of books in the end
= 1 u
= 20
Answer(s): 20