There were some silver, blue and red files in a box.
211 of the files were blue. The ratio of the number of silver files to the number of red files was 4 : 5. There were 348 fewer blue files than red files.
- Find the ratio of the number of silver files to the number of blue files to the number of red files in the box.
- How many red files were there?
Blue |
Silver |
Red |
Total |
2 |
9 |
11 |
|
4 |
5 |
|
2 u |
4 u |
5 u |
11 u |
(a)
Silver : Blue : Red
4 : 2 : 5
(b)
Number of fewer blue files than red files
= 5 u - 2 u
= 3 u
3 u = 348
1 u = 348 ÷ 3 = 116
Number of red files
= 5 u
= 5 x 116
= 580
Answer(s): (a) 4 : 2 : 5; (b) 580