There were some rows of chairs in a school field. Each row had 7 chairs. When Xandra brought in 5 extra chairs and rearranged all the chairs, there were 5 chairs in each row and 3 more rows than before. How many chairs were there at first?
|
First arrangement |
Second arrangement |
Number |
1 u |
1 u + 3 |
Value |
7 |
5 |
Total value |
7 u |
5 u + 15 |
If another 5 chairs are added in the first arrangement, the total number of chairs in the first arrangement and the second arrangement will be the same.
7 u + 5 = 5 u + 15
7 u - 5 u = 15 - 5
2 u = 10
1 u = 10 ÷ 2 = 5
Number of chairs at first
= 7 u
= 7 x 5
= 35
Answer(s): 35