There were some rows of chairs in a canteen. Each row had 11 chairs. When Shannon brought in 4 extra chairs and rearranged all the chairs, there were 6 chairs in each row and 4 more rows than before. How many chairs were there at first?
|
First arrangement |
Second arrangement |
Number |
1 u |
1 u + 4 |
Value |
11 |
6 |
Total value |
11 u |
6 u + 24 |
If another 4 chairs are added in the first arrangement, the total number of chairs in the first arrangement and the second arrangement will be the same.
11 u + 4 = 6 u + 24
11 u - 6 u = 24 - 4
5 u = 20
1 u = 20 ÷ 5 = 4
Number of chairs at first
= 11 u
= 11 x 4
= 44
Answer(s): 44