A total of 35 blue files and black files are in a container. The ratio of blue files to black files was 1 : 6. Some white files and yellow files were put into the container. For every 1 black files that were already in the container, 3 yellow ones were added. Then, the final number of blue files and white files was
13 the final number of black files and yellow files. Find the total number of white and yellow files.
White files |
Blue files |
Black files |
Yellow files |
|
1x1 |
6x1 |
|
|
|
1x6 |
3x6 |
1x8 |
3x8 |
7 u |
1 u |
6 u |
18 u |
The number of black files is repeated. Make the number of black files the same. LCM of 6 and 1 is 6.
The total number of black files and yellow files is repeated. Make the total number of black and yellow files the same. LCM of 24 and 3 is 24.
Total number of blue files and black files
= 1 u + 6 u
= 7 u
7 u = 35
1 u = 35 ÷ 7 = 5
Total number of white and yellow files
= 7 u + 18 u
= 25 u
= 25 x 5
= 125
Answer(s): 125