There were some rows of benches in a canteen. Each row had 10 benches. When Linda brought in 4 extra benches and rearranged all the benches, there were 4 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 |
10 |
4 |
Total value |
10 u |
4 u + 16 |
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.
10 u + 4 = 4 u + 16
10 u - 4 u = 16 - 4
6 u = 12
1 u = 12 ÷ 6 = 2
Number of benches at first
= 10 u
= 10 x 2
= 20
Answer(s): 20