There were some rows of tables in a canteen. Each row had 11 tables. When Penelope brought in 5 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 |
11 |
6 |
Total value |
11 u |
6 u + 30 |
If another 5 tables are added in the first arrangement, the total number of tables in the first arrangement and the second arrangement will be the same.
11 u + 5 = 6 u + 30
11 u - 6 u = 30 - 5
5 u = 25
1 u = 25 ÷ 5 = 5
Number of tables at first
= 11 u
= 11 x 5
= 55
Answer(s): 55