There were some purple, grey and brown files in a box.
110 of the files were grey. The ratio of the number of purple files to the number of brown files was 4 : 5. There were 336 fewer grey files than brown files.
- Find the ratio of the number of purple files to the number of grey files to the number of brown files in the box.
- How many brown files were there?
Grey |
Purple |
Brown |
Total |
1 |
9 |
10 |
|
4 |
5 |
|
1 u |
4 u |
5 u |
10 u |
(a)
Purple : Grey : Brown
4 : 1 : 5
(b)
Number of fewer grey files than brown files
= 5 u - 1 u
= 4 u
4 u = 336
1 u = 336 ÷ 4 = 84
Number of brown files
= 5 u
= 5 x 84
= 420
Answer(s): (a) 4 : 1 : 5; (b) 420