The average cost of some books is $47.
If 4 of the books are now each $15 more,
the average cost of the books becomes $53.
How many books are there altogether?
|
Case 1 |
Case 2 |
Number |
1 u |
1 u |
Value |
47 |
53 |
Total value |
47 u |
53 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
= 53 x 1 u
= 53 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
= 47 u + 60
53 u = 47 u + 60
53 u - 47 u = 60
6 u = 60
1 u = 60 ÷ 6 = 10
Number of books in the end
= 1 u
= 10
Answer(s): 10