There were some pink, purple and grey files in a box.
211 of the files were purple. The ratio of the number of pink files to the number of grey files was 4 : 5. There were 279 fewer purple files than grey files.
- Find the ratio of the number of pink files to the number of purple files to the number of grey files in the box.
- How many grey files were there?
Purple |
Pink |
Grey |
Total |
2 |
9 |
11 |
|
4 |
5 |
|
2 u |
4 u |
5 u |
11 u |
(a)
Pink : Purple : Grey
4 : 2 : 5
(b)
Number of fewer purple files than grey files
= 5 u - 2 u
= 3 u
3 u = 279
1 u = 279 ÷ 3 = 93
Number of grey files
= 5 u
= 5 x 93
= 465
Answer(s): (a) 4 : 2 : 5; (b) 465