Some identical comics can be arranged in exactly 15 per row. If the same number of comics is arranged in rows of 10 comics each, there will be 5 more rows but short of 5 comics. How many comics are there altogether?
|
15 per row |
10 per row |
Number |
1 u |
1 u + 5 |
Value |
15 u |
10 |
Total value |
15 u |
10 u + 50 - 5 |
Number of rows if the comics are arranged in rows of 15 = 1 u
Number of rows if the comics are arranged in rows of 10 = 1 u + 5
Total number of comics if they are arranged in rows of 15
= 15 x 1 u
= 15 u
Total number of comics if they are arranged in rows of 10
= 10 x (1 u + 5) - 5
= 10 u + 50 - 5
= 10 u + 45
The total number of comics remains the same for both cases.
15 u = 10 u + 45
15 u - 10 u = 45
5 u = 45
1 u = 45 ÷ 5 = 9
Total number of comics
= 15 u
= 15 x 9
= 135
Answer(s): 135