There were some rows of tables in a tuckshop. Each row had 9 tables. When Dana brought in 6 extra tables and rearranged all the tables, there were 4 tables in each row and 4 more rows than before. How many tables were there at first?
|
First arrangement |
Second arrangement |
Number |
1 u |
1 u + 4 |
Value |
9 |
4 |
Total value |
9 u |
4 u + 16 |
If another 6 tables are added in the first arrangement, the total number of tables in the first arrangement and the second arrangement will be the same.
9 u + 6 = 4 u + 16
9 u - 4 u = 16 - 6
5 u = 10
1 u = 10 ÷ 5 = 2
Number of tables at first
= 9 u
= 9 x 2
= 18
Answer(s): 18