There were some blue, red and green files in a box.
110 of the files were red. The ratio of the number of blue files to the number of green files was 4 : 5. There were 316 fewer red files than green files.
- Find the ratio of the number of blue files to the number of red files to the number of green files in the box.
- How many green files were there?
Red |
Blue |
Green |
Total |
1 |
9 |
10 |
|
4 |
5 |
|
1 u |
4 u |
5 u |
10 u |
(a)
Blue : Red : Green
4 : 1 : 5
(b)
Number of fewer red files than green files
= 5 u - 1 u
= 4 u
4 u = 316
1 u = 316 ÷ 4 = 79
Number of green files
= 5 u
= 5 x 79
= 395
Answer(s): (a) 4 : 1 : 5; (b) 395