A total of 28 silver folders and purple folders are in a container. The ratio of silver folders to purple folders was 2 : 5. Some pink folders and brown folders were put into the container. For every 1 purple folders that were already in the container, 5 brown ones were added. Then, the final number of silver folders and pink folders was
45 the final number of purple folders and brown folders. Find the total number of pink and brown folders.
Pink folders |
Silver folders |
Purple folders |
Brown folders |
|
2x1 |
5x1 |
|
|
|
1x5 |
5x5 |
4x6 |
5x6 |
22 u |
2 u |
5 u |
25 u |
The number of purple folders is repeated. Make the number of purple folders the same. LCM of 5 and 1 is 5.
The total number of purple folders and brown folders is repeated. Make the total number of purple and brown folders the same. LCM of 30 and 5 is 30.
Total number of silver folders and purple folders
= 2 u + 5 u
= 7 u
7 u = 28
1 u = 28 ÷ 7 = 4
Total number of pink and brown folders
= 22 u + 25 u
= 47 u
= 47 x 4
= 188
Answer(s): 188