The average cost of some books is $49.
If 2 of the books are now each $12 more,
the average cost of the books becomes $51.
How many books are there altogether?
|
Case 1 |
Case 2 |
Number |
1 u |
1 u |
Value |
49 |
51 |
Total value |
49 u |
51 u |
Number of books at first = 1 u
Number of books in the end = 1 u
Total cost of the books at first
= 49 x 1 u
= 49 u
Total cost of books in the end
= 51 x 1 u
= 51 u
Increase in the cost when 2 books are now each $12 more
= 2 x 12
= $24
Total cost of books after 2 books are now each $12 more
= 49 u + 24
51 u = 49 u + 24
51 u - 49 u = 24
2 u = 24
1 u = 24 ÷ 2 = 12
Number of books in the end
= 1 u
= 12
Answer(s): 12