Some identical comics can be arranged in exactly 14 per row. If the same number of comics is arranged in rows of 9 comics each, there will be 5 more rows but short of 5 comics. How many comics are there altogether?
| |
14 per row |
9 per row |
| Number |
1 u |
1 u + 5 |
| Value |
14 u |
9 |
| Total value |
14 u |
9 u + 45 - 5 |
Number of rows if the comics are arranged in rows of 14 = 1 u
Number of rows if the comics are arranged in rows of 9 = 1 u + 5
Total number of comics if they are arranged in rows of 14
= 14 x 1 u
= 14 u
Total number of comics if they are arranged in rows of 9
= 9 x (1 u + 5) - 5
= 9 u + 45 - 5
= 9 u + 40
The total number of comics remains the same for both cases.
14 u = 9 u + 40
14 u - 9 u = 40
5 u = 40
1 u = 40 ÷ 5 = 8
Total number of comics
= 14 u
= 14 x 8
= 112
Answer(s): 112
