A total of 70 green folders and white folders are in a container. The ratio of green folders to white folders was 1 : 6. Some grey folders and pink folders were put into the container. For every 5 white folders that were already in the container, 3 pink ones were added. Then, the final number of green folders and grey folders was
14 the final number of white folders and pink folders. Find the total number of grey and pink folders.
Grey folders |
Green folders |
White folders |
Pink folders |
|
1x5 |
6x5 |
|
|
|
5x6 |
3x6 |
1x12 |
4x12 |
7 u |
5 u |
30 u |
18 u |
The number of white folders is repeated. Make the number of white folders the same. LCM of 6 and 5 is 30.
The total number of white folders and pink folders is repeated. Make the total number of white and pink folders the same. LCM of 48 and 4 is 48.
Total number of green folders and white folders
= 5 u + 30 u
= 35 u
35 u = 70
1 u = 70 ÷ 35 = 2
Total number of grey and pink folders
= 7 u + 18 u
= 25 u
= 25 x 2
= 50
Answer(s): 50