There were some rows of chairs in a tuckshop. Each row had 7 chairs. When Vanessa brought in 14 extra chairs and rearranged all the chairs, there were 5 chairs in each row and 4 more rows than before. How many chairs were there at first?
| |
First
arrangement |
Second
arrangement |
| Number |
1 u |
1 u + 4 |
| Value |
7 |
5 |
| Total value |
7 u |
5 u + 20 |
If another 14 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 + 14 = 5 u + 20
7 u - 5 u = 20 - 14
2 u = 6
1 u = 6 ÷ 2 = 3
Number of chairs at first
= 7 u
= 7 x 3
= 21
Answer(s): 21
