Some identical magazines can be arranged in exactly 11 per row. If the same number of magazines is arranged in rows of 8 magazines each, there will be 4 more rows but short of 8 magazines. How many magazines are there altogether?
|
11 per row |
8 per row |
Number |
1 u |
1 u + 4 |
Value |
11 u |
8 |
Total value |
11 u |
8 u + 32 - 8 |
Number of rows if the magazines are arranged in rows of 11 = 1 u
Number of rows if the magazines are arranged in rows of 8 = 1 u + 4
Total number of magazines if they are arranged in rows of 11
= 11 x 1 u
= 11 u
Total number of magazines if they are arranged in rows of 8
= 8 x (1 u + 4) - 8
= 8 u + 32 - 8
= 8 u + 24
The total number of magazines remains the same for both cases.
11 u = 8 u + 24
11 u - 8 u = 24
3 u = 24
1 u = 24 ÷ 3 = 8
Total number of magazines
= 11 u
= 11 x 8
= 88
Answer(s): 88