There were some rows of benches in a parade square. Each row had 11 benches. When Tiffany brought in 3 extra benches and rearranged all the benches, there were 5 benches in each row and 3 more rows than before. How many benches were there at first?
| |
First
arrangement |
Second
arrangement |
| Number |
1 u |
1 u + 3 |
| Value |
11 |
5 |
| Total value |
11 u |
5 u + 15 |
If another 3 benches are added in the first arrangement, the total number of benches in the first arrangement and the second arrangement will be the same.
11 u + 3 = 5 u + 15
11 u - 5 u = 15 - 3
6 u = 12
1 u = 12 ÷ 6 = 2
Number of benches at first
= 11 u
= 11 x 2
= 22
Answer(s): 22
