There were some rows of tables in a tuckshop. Each row had 7 tables. When Emily brought in 8 extra tables and rearranged all the tables, there were 4 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 |
7 |
4 |
Total value |
7 u |
4 u + 20 |
If another 8 tables are added in the first arrangement, the total number of tables in the first arrangement and the second arrangement will be the same.
7 u + 8 = 4 u + 20
7 u - 4 u = 20 - 8
3 u = 12
1 u = 12 ÷ 3 = 4
Number of tables at first
= 7 u
= 7 x 4
= 28
Answer(s): 28