There were some rows of benches in a tuckshop. Each row had 9 benches. When Jane brought in 12 extra benches and rearranged all the benches, there were 6 benches in each row and 4 more rows than before. How many benches were there at first?
| |
First
arrangement |
Second
arrangement |
| Number |
1 u |
1 u + 4 |
| Value |
9 |
6 |
| Total value |
9 u |
6 u + 24 |
If another 12 benches are added in the first arrangement, the total number of benches in the first arrangement and the second arrangement will be the same.
9 u + 12 = 6 u + 24
9 u - 6 u = 24 - 12
3 u = 12
1 u = 12 ÷ 3 = 4
Number of benches at first
= 9 u
= 9 x 4
= 36
Answer(s): 36
