There were some pink, purple and grey files in a box.
19 of the files were purple. The ratio of the number of pink files to the number of grey files was 3 : 5. There were 264 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 |
1 |
8 |
9 |
|
3 |
5 |
|
1 u |
3 u |
5 u |
9 u |
(a)
Pink : Purple : Grey
3 : 1 : 5
(b)
Number of fewer purple files than grey files
= 5 u - 1 u
= 4 u
4 u = 264
1 u = 264 ÷ 4 = 66
Number of grey files
= 5 u
= 5 x 66
= 330
Answer(s): (a) 3 : 1 : 5; (b) 330