In the seminar room, chairs were arranged in rows of 16. During a workshop, 37 chairs were added to accommodate the number of people. The chairs were rearranged to form rows of 13. As a result, there were 4 more rows.
- How many chairs were there in the extra 4 rows?
- How many chairs were there in the seminar room in the end?
| |
First
arrangement |
Second
arrangement |
| Number |
1 u |
1 u + 4 |
| Value |
16 |
13 |
| Total value |
16 u |
13 u + 52 |
(a)
Number of chairs in the extra 4 rows
= 4 x 13
= 52
(b)
Total number of chairs in the first arrangement
= 1 u x 16
= 16 u
Total number of chairs in the second arrangement
= 13(1 u + 4)
= 13 u + 52
If 37 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 + 37 = 13 u + 52
16 u - 13 u = 52 - 37
3 u = 15
1 u = 15 ÷ 3 = 5
Number of chairs in the seminar room in the end
= 5 x 16 + 37
= 80 + 37
= 117
Answer(s): (a) 52; (b) 117
