PSLEIn a school hall, chairs were arranged in rows such that there were exactly 19 chairs in each row. For a concert, Liam removed 6 chairs from the school hall and rearranged all the chairs. There are now exactly 8 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 |
19 |
8 |
Total value |
19 u - 6 |
8 u + 104 |
Number of rows at first = 1 u
Number of rows in the end = 1 u + 13
Number of chairs at first after the 6 chairs were removed
= 19 x 1 u - 6
= 19 u - 6
Number of chairs in the end
= 8 x (1 u + 13)
= 8 u + 104
The total number of chairs is equal.
19 u - 6 = 8 u + 104
19 u - 8 u = 104 + 6
11 u = 110
1 u = 110 ÷ 11 = 10
Number of chairs in the end
= 8 u + 104
= 8 x 10 + 104
= 184
Answer(s): 184