PSLEIn a school hall, chairs were arranged in rows such that there were exactly 31 chairs in each row. For a concert, Xavier brought 6 more chairs into the school hall and rearranged all the chairs. There are now exactly 12 chairs in each row and 10 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 + 10 |
Value |
31 |
12 |
Total value |
31 u + 6 |
12 u + 120 |
Number of rows at first = 1 u
Number of rows in the end = 1 u + 10
Number of chairs at first after the 6 chairs were brought in
= 31 x 1 u + 6
= 31 u + 6
Number of chairs in the end
= 12 x (1 u + 10)
= 12 u + 120
The total number of chairs is equal.
31 u + 6 = 12 u + 120
31 u - 12 u = 120 - 6
19 u = 114
1 u = 114 ÷ 19 = 6
Number of chairs in the end
= 12 u + 120
= 12 x 6 + 120
= 192
Answer(s): 192