The average cost of some books is $45.
If 7 of the books are now each $14 more and
6 of the books are now each $4 less,
the average cost of the books becomes $47.
How many books are there altogether?
|
Case 1 |
Case 2 |
Number |
1 u |
1 u |
Value |
45 |
47 |
Total value |
45 u |
47 u |
Number of books at first = 1 u
Number of books in the end = 1 u
Total cost of the books at first
= 45 x 1 u
= 45 u
Increase in the cost after 7 books are now each $14 more and 6 books are now each $4 less
= 7 x 14 - 6 x 4
= 98 - 24
= $74
Total cost of books after 7 books are now each $14 more and 6 books are now each $4 less
= 45 u + 74
Total cost of books in the end
= 47 x 1 u
= 47 u
47 u = 45 u + 74
47 u - 45 u = 74
2 u = 74
1 u = 74 ÷ 2 = 37
Number of books in the end
= 1 u
= 37
Answer(s): 37