Some identical magazines can be arranged in exactly 12 per row. If the same number of magazines is arranged in rows of 10 magazines each, there will be 3 more rows but short of 10 magazines. How many magazines are there altogether?
| |
12 per row |
10 per row |
| Number |
1 u |
1 u + 3 |
| Value |
12 u |
10 |
| Total value |
12 u |
10 u + 30 - 10 |
Number of rows if the magazines are arranged in rows of 12 = 1 u
Number of rows if the magazines are arranged in rows of 10 = 1 u + 3
Total number of magazines if they are arranged in rows of 12
= 12 x 1 u
= 12 u
Total number of magazines if they are arranged in rows of 10
= 10 x (1 u + 3) - 10
= 10 u + 30 - 10
= 10 u + 20
The total number of magazines remains the same for both cases.
12 u = 10 u + 20
12 u - 10 u = 20
2 u = 20
1 u = 20 ÷ 2 = 10
Total number of magazines
= 12 u
= 12 x 10
= 120
Answer(s): 120
