There were some rows of benches in a canteen. Each row had 10 benches. When Irene brought in 5 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 |
10 |
5 |
Total value |
10 u |
5 u + 25 |
If another 5 benches are added in the first arrangement, the total number of benches in the first arrangement and the second arrangement will be the same.
10 u + 5 = 5 u + 25
10 u - 5 u = 25 - 5
5 u = 20
1 u = 20 ÷ 5 = 4
Number of benches at first
= 10 u
= 10 x 4
= 40
Answer(s): 40