In the seminar room, chairs were arranged in rows of 16. During a workshop, 23 chairs were added to accommodate the number of people. The chairs were rearranged to form rows of 11. As a result, there were 8 more rows.
- How many chairs were there in the extra 8 rows?
- How many chairs were there in the seminar room in the end?
| |
First
arrangement |
Second
arrangement |
| Number |
1 u |
1 u + 8 |
| Value |
16 |
11 |
| Total value |
16 u |
11 u + 88 |
(a)
Number of chairs in the extra 8 rows
= 8 x 11
= 88
(b)
Total number of chairs in the first arrangement
= 1 u x 16
= 16 u
Total number of chairs in the second arrangement
= 11(1 u + 8)
= 11 u + 88
If 23 chairs were included in the first arrangement, the total number of chairs in the first arrangement and the second arrangement will be the same.
16 u + 23 = 11 u + 88
16 u - 11 u = 88 - 23
5 u = 65
1 u = 65 ÷ 5 = 13
Number of chairs in the seminar room in the end
= 13 x 16 + 23
= 208 + 23
= 231
Answer(s): (a) 88; (b) 231
