The average cost of some books is $44.
If 4 of the books are now each $12 more,
the average cost of the books becomes $48.
How many books are there altogether?
|
Case 1 |
Case 2 |
Number |
1 u |
1 u |
Value |
44 |
48 |
Total value |
44 u |
48 u |
Number of books at first = 1 u
Number of books in the end = 1 u
Total cost of the books at first
= 44 x 1 u
= 44 u
Total cost of books in the end
= 48 x 1 u
= 48 u
Increase in the cost when 4 books are now each $12 more
= 4 x 12
= $48
Total cost of books after 4 books are now each $12 more
= 44 u + 48
48 u = 44 u + 48
48 u - 44 u = 48
4 u = 48
1 u = 48 ÷ 4 = 12
Number of books in the end
= 1 u
= 12
Answer(s): 12