There were some rows of benches in a canteen. Each row had 8 benches. When Zoe brought in 20 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 20 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 + 20 = 6 u + 30
8 u - 6 u = 30 - 20
2 u = 10
1 u = 10 ÷ 2 = 5
Number of benches at first
= 8 u
= 8 x 5
= 40
Answer(s): 40