The average cost of some books is $47.
If 5 of the books are now each $13 more,
the average cost of the books becomes $52.
How many books are there altogether?
|
Case 1 |
Case 2 |
Number |
1 u |
1 u |
Value |
47 |
52 |
Total value |
47 u |
52 u |
Number of books at first = 1 u
Number of books in the end = 1 u
Total cost of the books at first
= 47 x 1 u
= 47 u
Total cost of books in the end
= 52 x 1 u
= 52 u
Increase in the cost when 5 books are now each $13 more
= 5 x 13
= $65
Total cost of books after 5 books are now each $13 more
= 47 u + 65
52 u = 47 u + 65
52 u - 47 u = 65
5 u = 65
1 u = 65 ÷ 5 = 13
Number of books in the end
= 1 u
= 13
Answer(s): 13