There were some rows of benches in a canteen. Each row had 8 benches. When Natalie brought in 2 extra benches and rearranged all the benches, there were 5 benches in each row and 4 more rows than before. How many benches were there at first?
|
First arrangement |
Second arrangement |
Number |
1 u |
1 u + 4 |
Value |
8 |
5 |
Total value |
8 u |
5 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.
8 u + 2 = 5 u + 20
8 u - 5 u = 20 - 2
3 u = 18
1 u = 18 ÷ 3 = 6
Number of benches at first
= 8 u
= 8 x 6
= 48
Answer(s): 48