The average cost of some books is $37.
If 5 of the books are now each $12 more,
the average cost of the books becomes $40.
How many books are there altogether?
|
Case 1 |
Case 2 |
Number |
1 u |
1 u |
Value |
37 |
40 |
Total value |
37 u |
40 u |
Number of books at first = 1 u
Number of books in the end = 1 u
Total cost of the books at first
= 37 x 1 u
= 37 u
Total cost of books in the end
= 40 x 1 u
= 40 u
Increase in the cost when 5 books are now each $12 more
= 5 x 12
= $60
Total cost of books after 5 books are now each $12 more
= 37 u + 60
40 u = 37 u + 60
40 u - 37 u = 60
3 u = 60
1 u = 60 ÷ 3 = 20
Number of books in the end
= 1 u
= 20
Answer(s): 20