The average cost of some books is $33.
If 5 of the books are now each $14 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 |
33 |
40 |
Total value |
33 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
= 33 x 1 u
= 33 u
Total cost of books in the end
= 40 x 1 u
= 40 u
Increase in the cost when 5 books are now each $14 more
= 5 x 14
= $70
Total cost of books after 5 books are now each $14 more
= 33 u + 70
40 u = 33 u + 70
40 u - 33 u = 70
7 u = 70
1 u = 70 ÷ 7 = 10
Number of books in the end
= 1 u
= 10
Answer(s): 10