PSLEIn a school hall, chairs were arranged in rows such that there were exactly 16 chairs in each row. For a concert, Glen removed 8 chairs from the school hall and rearranged all the chairs. There are now exactly 8 chairs in each row and 12 more rows than before. How many chairs are there in the school hall for the concert in the end?
|
Before |
After |
Number |
1 u |
1 u + 12 |
Value |
16 |
8 |
Total value |
16 u - 8 |
8 u + 96 |
Number of rows at first = 1 u
Number of rows in the end = 1 u + 12
Number of chairs at first after the 8 chairs were removed
= 16 x 1 u - 8
= 16 u - 8
Number of chairs in the end
= 8 x (1 u + 12)
= 8 u + 96
The total number of chairs is equal.
16 u - 8 = 8 u + 96
16 u - 8 u = 96 + 8
8 u = 104
1 u = 104 ÷ 8 = 13
Number of chairs in the end
= 8 u + 96
= 8 x 13 + 96
= 200
Answer(s): 200