A total of 286 black files and brown files are in a container. The ratio of black files to brown files was 4 : 9. Some yellow files and white files were put into the container. For every 6 brown files that were already in the container, 2 white ones were added. Then, the final number of black files and yellow files was
12 the final number of brown files and white files. Find the total number of yellow and white files.
| Yellow files |
Black files |
Brown files |
White files |
| |
4x2 |
9x2 |
|
| |
|
6x3 |
2x3 |
| 1x12 |
2x12 |
| 4 u |
8 u |
18 u |
6 u |
The number of brown files is repeated. Make the number of brown files the same. LCM of 9 and 6 is 18.
The total number of brown files and white files is repeated. Make the total number of brown and white files the same. LCM of 24 and 2 is 24.
Total number of black files and brown files
= 8 u + 18 u
= 26 u
26 u = 286
1 u = 286 ÷ 26 = 11
Total number of yellow and white files
= 4 u + 6 u
= 10 u
= 10 x 11
= 110
Answer(s): 110
