Some identical comics can be arranged in exactly 13 per row. If the same number of comics is arranged in rows of 10 comics each, there will be 3 more rows but short of 6 comics. How many comics are there altogether?
|
13 per row |
10 per row |
Number |
1 u |
1 u + 3 |
Value |
13 u |
10 |
Total value |
13 u |
10 u + 30 - 6 |
Number of rows if the comics are arranged in rows of 13 = 1 u
Number of rows if the comics are arranged in rows of 10 = 1 u + 3
Total number of comics if they are arranged in rows of 13
= 13 x 1 u
= 13 u
Total number of comics if they are arranged in rows of 10
= 10 x (1 u + 3) - 6
= 10 u + 30 - 6
= 10 u + 24
The total number of comics remains the same for both cases.
13 u = 10 u + 24
13 u - 10 u = 24
3 u = 24
1 u = 24 ÷ 3 = 8
Total number of comics
= 13 u
= 13 x 8
= 104
Answer(s): 104