In the seminar room, chairs were arranged in rows of 19. During a workshop, 35 chairs were added to accommodate the number of people. The chairs were rearranged to form rows of 14. As a result, there were 5 more rows.
- How many chairs were there in the extra 5 rows?
- How many chairs were there in the seminar room in the end?
|
First arrangement |
Second arrangement |
Number |
1 u |
1 u + 5 |
Value |
19 |
14 |
Total value |
19 u |
14 u + 70 |
(a)
Number of chairs in the extra 5 rows
= 5 x 14
= 70
(b)
Total number of chairs in the first arrangement
= 1 u x 19
= 19 u
Total number of chairs in the second arrangement
= 14(1 u + 5)
= 14 u + 70
If 35 chairs were included in the first arrangement, the total number of chairs in the first arrangement and the second arrangement will be the same.
19 u + 35 = 14 u + 70
19 u - 14 u = 70 - 35
5 u = 35
1 u = 35 ÷ 5 = 7
Number of chairs in the seminar room in the end
= 7 x 19 + 35
= 133 + 35
= 168
Answer(s): (a) 70; (b) 168