In the seminar room, chairs were arranged in rows of 14. During a workshop, 14 chairs were added to accommodate the number of people. The chairs were rearranged to form rows of 12. As a result, there were 3 more rows.
- How many chairs were there in the extra 3 rows?
- How many chairs were there in the seminar room in the end?
|
First arrangement |
Second arrangement |
Number |
1 u |
1 u + 3 |
Value |
14 |
12 |
Total value |
14 u |
12 u + 36 |
(a)
Number of chairs in the extra 3 rows
= 3 x 12
= 36
(b)
Total number of chairs in the first arrangement
= 1 u x 14
= 14 u
Total number of chairs in the second arrangement
= 12(1 u + 3)
= 12 u + 36
If 14 chairs were included in the first arrangement, the total number of chairs in the first arrangement and the second arrangement will be the same.
14 u + 14 = 12 u + 36
14 u - 12 u = 36 - 14
2 u = 22
1 u = 22 ÷ 2 = 11
Number of chairs in the seminar room in the end
= 11 x 14 + 14
= 154 + 14
= 168
Answer(s): (a) 36; (b) 168