The average cost of some books is $47.
If 4 of the books are now each $11 more,
the average cost of the books becomes $51.
How many books are there altogether?
|
Case 1 |
Case 2 |
Number |
1 u |
1 u |
Value |
47 |
51 |
Total value |
47 u |
51 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
= 51 x 1 u
= 51 u
Increase in the cost when 4 books are now each $11 more
= 4 x 11
= $44
Total cost of books after 4 books are now each $11 more
= 47 u + 44
51 u = 47 u + 44
51 u - 47 u = 44
4 u = 44
1 u = 44 ÷ 4 = 11
Number of books in the end
= 1 u
= 11
Answer(s): 11