There were some pink, purple and grey markers in a box.
211 of the markers were purple. The ratio of the number of pink markers to the number of grey markers was 4 : 5. There were 270 fewer purple markers than grey markers.
- Find the ratio of the number of pink markers to the number of purple markers to the number of grey markers in the box.
- How many grey markers were there?
Purple |
Pink |
Grey |
Total |
2 |
9 |
11 |
|
4 |
5 |
|
2 u |
4 u |
5 u |
11 u |
(a)
Pink : Purple : Grey
4 : 2 : 5
(b)
Number of fewer purple markers than grey markers
= 5 u - 2 u
= 3 u
3 u = 270
1 u = 270 ÷ 3 = 90
Number of grey markers
= 5 u
= 5 x 90
= 450
Answer(s): (a) 4 : 2 : 5; (b) 450