Some identical workbooks can be arranged in exactly 10 per row. If the same number of workbooks is arranged in rows of 6 workbooks each, there will be 5 more rows and 2 workbooks left over. How many workbooks are there altogether?
|
10 per row |
6 per row |
Number |
1 u |
1 u + 5 |
Value |
10 |
6 |
Total value |
10 u |
6 u + 30 + 2 |
Number of rows if the workbooks are arranged in rows of 10 = 1 u
Number of rows if the workbooks are arranged in rows of 6 = 1 u + 5
Total number of workbooks if they are arranged in rows of 10
= 10 x 1 u
= 10 u
Total number of workbooks if they are arranged in rows of 6
= 6 x (1 u + 5) + 2
= 6 u + 30 + 2
= 6 u + 32
The total number of workbooks remains the same for both cases.
10 u = 6 u + 32
10 u - 6 u = 32
4 u = 32
1 u = 32 ÷ 4 = 8
Total number of workbooks
= 10 u
= 10 x 8
= 80
Answer(s): 80