A total of 264 silver folders and pink folders are in a container. The ratio of silver folders to pink folders was 2 : 9. Some brown folders and yellow folders were put into the container. For every 6 pink folders that were already in the container, 3 yellow ones were added. Then, the final number of silver folders and brown folders was
13 the final number of pink folders and yellow folders. Find the total number of brown and yellow folders.
| Brown folders |
Silver folders |
Pink folders |
Yellow folders |
| |
2x2 |
9x2 |
|
| |
|
6x3 |
3x3 |
| 1x9 |
3x9 |
| 5 u |
4 u |
18 u |
9 u |
The number of pink folders is repeated. Make the number of pink folders the same. LCM of 9 and 6 is 18.
The total number of pink folders and yellow folders is repeated. Make the total number of pink and yellow folders the same. LCM of 27 and 3 is 27.
Total number of silver folders and pink folders
= 4 u + 18 u
= 22 u
22 u = 264
1 u = 264 ÷ 22 = 12
Total number of brown and yellow folders
= 5 u + 9 u
= 14 u
= 14 x 12
= 168
Answer(s): 168
