The average cost of some books is $33.
If 5 of the books are now each $11 more,
the average cost of the books becomes $38.
How many books are there altogether?
|
Case 1 |
Case 2 |
Number |
1 u |
1 u |
Value |
33 |
38 |
Total value |
33 u |
38 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
= 38 x 1 u
= 38 u
Increase in the cost when 5 books are now each $11 more
= 5 x 11
= $55
Total cost of books after 5 books are now each $11 more
= 33 u + 55
38 u = 33 u + 55
38 u - 33 u = 55
5 u = 55
1 u = 55 ÷ 5 = 11
Number of books in the end
= 1 u
= 11
Answer(s): 11