Some identical comics can be arranged in exactly 13 per row. If the same number of comics is arranged in rows of 8 comics each, there will be 6 more rows and 2 comics left over. How many comics are there altogether?
|
13 per row |
8 per row |
Number |
1 u |
1 u + 6 |
Value |
13 |
8 |
Total value |
13 u |
8 u + 48 + 2 |
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 8 = 1 u + 6
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 8
= 8 x (1 u + 6) + 2
= 8 u + 48 + 2
= 8 u + 50
The total number of comics remains the same for both cases.
13 u = 8 u + 50
13 u - 8 u = 50
5 u = 50
1 u = 50 ÷ 5 = 10
Total number of comics
= 13 u
= 13 x 10
= 130
Answer(s): 130