There were some rows of benches in a canteen. Each row had 8 benches. When Fiona brought in 12 extra benches and rearranged all the benches, there were 6 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 |
8 |
6 |
| Total value |
8 u |
6 u + 30 |
If another 12 benches are added in the first arrangement, the total number of benches in the first arrangement and the second arrangement will be the same.
8 u + 12 = 6 u + 30
8 u - 6 u = 30 - 12
2 u = 18
1 u = 18 ÷ 2 = 9
Number of benches at first
= 8 u
= 8 x 9
= 72
Answer(s): 72
