Some identical comics can be arranged in exactly 11 per row. If the same number of comics is arranged in rows of 7 comics each, there will be 5 more rows but short of 7 comics. How many comics are there altogether?
| |
11 per row |
7 per row |
| Number |
1 u |
1 u + 5 |
| Value |
11 u |
7 |
| Total value |
11 u |
7 u + 35 - 7 |
Number of rows if the comics are arranged in rows of 11 = 1 u
Number of rows if the comics are arranged in rows of 7 = 1 u + 5
Total number of comics if they are arranged in rows of 11
= 11 x 1 u
= 11 u
Total number of comics if they are arranged in rows of 7
= 7 x (1 u + 5) - 7
= 7 u + 35 - 7
= 7 u + 28
The total number of comics remains the same for both cases.
11 u = 7 u + 28
11 u - 7 u = 28
4 u = 28
1 u = 28 ÷ 4 = 7
Total number of comics
= 11 u
= 11 x 7
= 77
Answer(s): 77
