Some identical magazines can be arranged in exactly 15 per row. If the same number of magazines is arranged in rows of 8 magazines each, there will be 5 more rows and 2 magazines left over. How many magazines are there altogether?
| |
15 per row |
8 per row |
| Number |
1 u |
1 u + 5 |
| Value |
15 |
8 |
| Total value |
15 u |
8 u + 40 + 2 |
Number of rows if the magazines are arranged in rows of 15 = 1 u
Number of rows if the magazines are arranged in rows of 8 = 1 u + 5
Total number of magazines if they are arranged in rows of 15
= 15 x 1 u
= 15 u
Total number of magazines if they are arranged in rows of 8
= 8 x (1 u + 5) + 2
= 8 u + 40 + 2
= 8 u + 42
The total number of magazines remains the same for both cases.
15 u = 8 u + 42
15 u - 8 u = 42
7 u = 42
1 u = 42 ÷ 7 = 6
Total number of magazines
= 15 u
= 15 x 6
= 90
Answer(s): 90
