In the seminar room, chairs were arranged in rows of 14. During a workshop, 10 chairs were added to accommodate the number of people. The chairs were rearranged to form rows of 10. 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 |
14 |
10 |
Total value |
14 u |
10 u + 50 |
(a)
Number of chairs in the extra 5 rows
= 5 x 10
= 50
(b)
Total number of chairs in the first arrangement
= 1 u x 14
= 14 u
Total number of chairs in the second arrangement
= 10(1 u + 5)
= 10 u + 50
If 10 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 + 10 = 10 u + 50
14 u - 10 u = 50 - 10
4 u = 40
1 u = 40 ÷ 4 = 10
Number of chairs in the seminar room in the end
= 10 x 14 + 10
= 140 + 10
= 150
Answer(s): (a) 50; (b) 150