PSLEIn a school hall, chairs were arranged in rows such that there were exactly 23 chairs in each row. For a concert, Luke removed 9 chairs from the school hall and rearranged all the chairs. There are now exactly 12 chairs in each row and 13 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 + 13 |
Value |
23 |
12 |
Total value |
23 u - 9 |
12 u + 156 |
Number of rows at first = 1 u
Number of rows in the end = 1 u + 13
Number of chairs at first after the 9 chairs were removed
= 23 x 1 u - 9
= 23 u - 9
Number of chairs in the end
= 12 x (1 u + 13)
= 12 u + 156
The total number of chairs is equal.
23 u - 9 = 12 u + 156
23 u - 12 u = 156 + 9
11 u = 165
1 u = 165 ÷ 11 = 15
Number of chairs in the end
= 12 u + 156
= 12 x 15 + 156
= 336
Answer(s): 336