The average cost of some books is $40.
If 5 of the books are now each $15 more,
the average cost of the books becomes $45.
How many books are there altogether?
|
Case 1 |
Case 2 |
Number |
1 u |
1 u |
Value |
40 |
45 |
Total value |
40 u |
45 u |
Number of books at first = 1 u
Number of books in the end = 1 u
Total cost of the books at first
= 40 x 1 u
= 40 u
Total cost of books in the end
= 45 x 1 u
= 45 u
Increase in the cost when 5 books are now each $15 more
= 5 x 15
= $75
Total cost of books after 5 books are now each $15 more
= 40 u + 75
45 u = 40 u + 75
45 u - 40 u = 75
5 u = 75
1 u = 75 ÷ 5 = 15
Number of books in the end
= 1 u
= 15
Answer(s): 15