The average cost of some books is $38.
If 4 of the books are now each $13 more,
the average cost of the books becomes $42.
How many books are there altogether?
|
Case 1 |
Case 2 |
Number |
1 u |
1 u |
Value |
38 |
42 |
Total value |
38 u |
42 u |
Number of books at first = 1 u
Number of books in the end = 1 u
Total cost of the books at first
= 38 x 1 u
= 38 u
Total cost of books in the end
= 42 x 1 u
= 42 u
Increase in the cost when 4 books are now each $13 more
= 4 x 13
= $52
Total cost of books after 4 books are now each $13 more
= 38 u + 52
42 u = 38 u + 52
42 u - 38 u = 52
4 u = 52
1 u = 52 ÷ 4 = 13
Number of books in the end
= 1 u
= 13
Answer(s): 13