The average cost of some books is $39.
If 4 of the books are now each $11 more,
the average cost of the books becomes $43.
How many books are there altogether?
|
Case 1 |
Case 2 |
Number |
1 u |
1 u |
Value |
39 |
43 |
Total value |
39 u |
43 u |
Number of books at first = 1 u
Number of books in the end = 1 u
Total cost of the books at first
= 39 x 1 u
= 39 u
Total cost of books in the end
= 43 x 1 u
= 43 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
= 39 u + 44
43 u = 39 u + 44
43 u - 39 u = 44
4 u = 44
1 u = 44 ÷ 4 = 11
Number of books in the end
= 1 u
= 11
Answer(s): 11