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Imagine... if you were the one rearranging the chairs, how would you do it?
1) After rearranging, each row has 9 chairs. That is to say, for the existing rows of 12 chairs in the beginning , I will need to remove 3 chairs from each row.
2) In order to create the 11 new rows, I brought in 3 more chairs.
99 - 3 = 96
Without the 3 chairs, the number of chairs taken from existing rows is 96.
3) If I took a total 96 chairs by removing 3 chairs from each row, how many rows were there?
96/3 = 32
4) Since each row had 12,
32 x 12 = 384
Plus 3 new chairs,
384 + 3 = 387
How to check?
Since the new arrangement had 9 chairs per row,
387/9 = 43
We have 43 rows in total for new arrangement.
43 - 32 = 11
So the answer satisfies 2 conditions:
1) The answer can be divided by 9 equally.
2) The number of new rows is 11 more than the old arrangement.
Hope this helps!
1) After rearranging, each row has 9 chairs. That is to say, for the existing rows of 12 chairs in the beginning , I will need to remove 3 chairs from each row.
2) In order to create the 11 new rows, I brought in 3 more chairs.
99 - 3 = 96
Without the 3 chairs, the number of chairs taken from existing rows is 96.
3) If I took a total 96 chairs by removing 3 chairs from each row, how many rows were there?
96/3 = 32
4) Since each row had 12,
32 x 12 = 384
Plus 3 new chairs,
384 + 3 = 387
How to check?
Since the new arrangement had 9 chairs per row,
387/9 = 43
We have 43 rows in total for new arrangement.
43 - 32 = 11
So the answer satisfies 2 conditions:
1) The answer can be divided by 9 equally.
2) The number of new rows is 11 more than the old arrangement.
Hope this helps!
Date Posted:
3 years ago
Your answer is so impressive!! Wow... Million thanks!!
Haha, thanks Mag! just glad it helped.