A total of 63 white folders and green folders are in a container. The ratio of white folders to green folders was 1 : 6. Some brown folders and blue folders were put into the container. For every 9 green folders that were already in the container, 6 blue ones were added. Then, the final number of white folders and brown folders was
16 the final number of green folders and blue folders. Find the total number of brown and blue folders.
| Brown folders |
White folders |
Green folders |
Blue folders |
| |
1x3 |
6x3 |
|
| |
|
9x2 |
6x2 |
| 1x5 |
6x5 |
| 2 u |
3 u |
18 u |
12 u |
The number of green folders is repeated. Make the number of green folders the same. LCM of 6 and 9 is 18.
The total number of green folders and blue folders is repeated. Make the total number of green and blue folders the same. LCM of 30 and 6 is 30.
Total number of white folders and green folders
= 3 u + 18 u
= 21 u
21 u = 63
1 u = 63 ÷ 21 = 3
Total number of brown and blue folders
= 2 u + 12 u
= 14 u
= 14 x 3
= 42
Answer(s): 42
