There were some rows of tables in a canteen. Each row had 8 tables. When Cathy brought in 18 extra tables and rearranged all the tables, there were 6 tables in each row and 5 more rows than before. How many tables were there at first?
|
First arrangement |
Second arrangement |
Number |
1 u |
1 u + 5 |
Value |
8 |
6 |
Total value |
8 u |
6 u + 30 |
If another 18 tables are added in the first arrangement, the total number of tables in the first arrangement and the second arrangement will be the same.
8 u + 18 = 6 u + 30
8 u - 6 u = 30 - 18
2 u = 12
1 u = 12 ÷ 2 = 6
Number of tables at first
= 8 u
= 8 x 6
= 48
Answer(s): 48