There were some rows of benches in a basketball court. Each row had 7 benches. When Hazel brought in 4 extra benches and rearranged all the benches, there were 5 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 |
7 |
5 |
| Total value |
7 u |
5 u + 10 |
If another 4 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 + 4 = 5 u + 10
7 u - 5 u = 10 - 4
2 u = 6
1 u = 6 ÷ 2 = 3
Number of benches at first
= 7 u
= 7 x 3
= 21
Answer(s): 21
