There were some rows of benches in a canteen. Each row had 11 benches. When Penelope brought in 13 extra benches and rearranged all the benches, there were 5 benches in each row and 5 more rows than before. How many benches were there at first?
| |
First
arrangement |
Second
arrangement |
| Number |
1 u |
1 u + 5 |
| Value |
11 |
5 |
| Total value |
11 u |
5 u + 25 |
If another 13 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 + 13 = 5 u + 25
11 u - 5 u = 25 - 13
6 u = 12
1 u = 12 ÷ 6 = 2
Number of benches at first
= 11 u
= 11 x 2
= 22
Answer(s): 22
