Some identical magazines can be arranged in exactly 11 per row. If the same number of magazines is arranged in rows of 9 magazines each, there will be 3 more rows but short of 7 magazines. How many magazines are there altogether?
|
11 per row |
9 per row |
Number |
1 u |
1 u + 3 |
Value |
11 u |
9 |
Total value |
11 u |
9 u + 27 - 7 |
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 9 = 1 u + 3
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 9
= 9 x (1 u + 3) - 7
= 9 u + 27 - 7
= 9 u + 20
The total number of magazines remains the same for both cases.
11 u = 9 u + 20
11 u - 9 u = 20
2 u = 20
1 u = 20 ÷ 2 = 10
Total number of magazines
= 11 u
= 11 x 10
= 110
Answer(s): 110