There were some grey, brown and black files in a box.
111 of the files were brown. The ratio of the number of grey files to the number of black files was 3 : 7. There were 264 fewer brown files than black files.
- Find the ratio of the number of grey files to the number of brown files to the number of black files in the box.
- How many black files were there?
Brown |
Grey |
Black |
Total |
1 |
10 |
11 |
|
3 |
7 |
|
1 u |
3 u |
7 u |
11 u |
(a)
Grey : Brown : Black
3 : 1 : 7
(b)
Number of fewer brown files than black files
= 7 u - 1 u
= 6 u
6 u = 264
1 u = 264 ÷ 6 = 44
Number of black files
= 7 u
= 7 x 44
= 308
Answer(s): (a) 3 : 1 : 7; (b) 308