There were some yellow, white and pink files in a box.
111 of the files were white. The ratio of the number of yellow files to the number of pink files was 3 : 7. There were 318 fewer white files than pink files.
- Find the ratio of the number of yellow files to the number of white files to the number of pink files in the box.
- How many pink files were there?
White |
Yellow |
Pink |
Total |
1 |
10 |
11 |
|
3 |
7 |
|
1 u |
3 u |
7 u |
11 u |
(a)
Yellow : White : Pink
3 : 1 : 7
(b)
Number of fewer white files than pink files
= 7 u - 1 u
= 6 u
6 u = 318
1 u = 318 ÷ 6 = 53
Number of pink files
= 7 u
= 7 x 53
= 371
Answer(s): (a) 3 : 1 : 7; (b) 371