There were some rows of benches in a tuckshop. Each row had 9 benches. When Opal brought in 6 extra benches and rearranged all the benches, there were 6 benches in each row and 2 more rows than before. How many benches were there at first?
| |
First
arrangement |
Second
arrangement |
| Number |
1 u |
1 u + 2 |
| Value |
9 |
6 |
| Total value |
9 u |
6 u + 12 |
If another 6 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 + 6 = 6 u + 12
9 u - 6 u = 12 - 6
3 u = 6
1 u = 6 ÷ 3 = 2
Number of benches at first
= 9 u
= 9 x 2
= 18
Answer(s): 18
