The average cost of some books is $33.
If 5 of the books are now each $12 more,
the average cost of the books becomes $35.
How many books are there altogether?
|
Case 1 |
Case 2 |
Number |
1 u |
1 u |
Value |
33 |
35 |
Total value |
33 u |
35 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
= 35 x 1 u
= 35 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
= 33 u + 60
35 u = 33 u + 60
35 u - 33 u = 60
2 u = 60
1 u = 60 ÷ 2 = 30
Number of books in the end
= 1 u
= 30
Answer(s): 30