The average cost of some books is $30.
If 9 of the books are now each $12 more and
3 of the books are now each $8 less,
the average cost of the books becomes $32.
How many books are there altogether?
|
Case 1 |
Case 2 |
Number |
1 u |
1 u |
Value |
30 |
32 |
Total value |
30 u |
32 u |
Number of books at first = 1 u
Number of books in the end = 1 u
Total cost of the books at first
= 30 x 1 u
= 30 u
Increase in the cost after 9 books are now each $12 more and 3 books are now each $8 less
= 9 x 12 - 3 x 8
= 108 - 24
= $84
Total cost of books after 9 books are now each $12 more and 3 books are now each $8 less
= 30 u + 84
Total cost of books in the end
= 32 x 1 u
= 32 u
32 u = 30 u + 84
32 u - 30 u = 84
2 u = 84
1 u = 84 ÷ 2 = 42
Number of books in the end
= 1 u
= 42
Answer(s): 42