There were some white, pink and purple files in a box.
110 of the files were pink. The ratio of the number of white files to the number of purple files was 4 : 5. There were 308 fewer pink files than purple files.
- Find the ratio of the number of white files to the number of pink files to the number of purple files in the box.
- How many purple files were there?
Pink |
White |
Purple |
Total |
1 |
9 |
10 |
|
4 |
5 |
|
1 u |
4 u |
5 u |
10 u |
(a)
White : Pink : Purple
4 : 1 : 5
(b)
Number of fewer pink files than purple files
= 5 u - 1 u
= 4 u
4 u = 308
1 u = 308 ÷ 4 = 77
Number of purple files
= 5 u
= 5 x 77
= 385
Answer(s): (a) 4 : 1 : 5; (b) 385