There were some rows of stools in a tuckshop. Each row had 11 stools. When Rachel brought in 15 extra stools and rearranged all the stools, there were 6 stools in each row and 5 more rows than before. How many stools 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 15 stools are added in the first arrangement, the total number of stools in the first arrangement and the second arrangement will be the same.
11 u + 15 = 6 u + 30
11 u - 6 u = 30 - 15
5 u = 15
1 u = 15 ÷ 5 = 3
Number of stools at first
= 11 u
= 11 x 3
= 33
Answer(s): 33