A total of 35 pink files and grey files are in a container. The ratio of pink files to grey files was 1 : 6. Some brown files and purple files were put into the container. For every 2 grey files that were already in the container, 2 purple ones were added. Then, the final number of pink files and brown files was
12 the final number of grey files and purple files. Find the total number of brown and purple files.
Brown files |
Pink files |
Grey files |
Purple files |
|
1x1 |
6x1 |
|
|
|
2x3 |
2x3 |
1x6 |
2x6 |
5 u |
1 u |
6 u |
6 u |
The number of grey files is repeated. Make the number of grey files the same. LCM of 6 and 2 is 6.
The total number of grey files and purple files is repeated. Make the total number of grey and purple files the same. LCM of 12 and 2 is 12.
Total number of pink files and grey files
= 1 u + 6 u
= 7 u
7 u = 35
1 u = 35 ÷ 7 = 5
Total number of brown and purple files
= 5 u + 6 u
= 11 u
= 11 x 5
= 55
Answer(s): 55