There were some rows of benches in a school field. Each row had 7 benches. When Jean brought in 2 extra benches and rearranged all the benches, there were 4 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 |
7 |
4 |
| Total value |
7 u |
4 u + 20 |
If another 2 benches are added in the first arrangement, the total number of benches in the first arrangement and the second arrangement will be the same.
7 u + 2 = 4 u + 20
7 u - 4 u = 20 - 2
3 u = 18
1 u = 18 ÷ 3 = 6
Number of benches at first
= 7 u
= 7 x 6
= 42
Answer(s): 42
