There were some pink, purple and grey markers in a box.
19 of the markers were purple. The ratio of the number of pink markers to the number of grey markers was 3 : 5. There were 316 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 |
1 |
8 |
9 |
|
3 |
5 |
|
1 u |
3 u |
5 u |
9 u |
(a)
Pink : Purple : Grey
3 : 1 : 5
(b)
Number of fewer purple markers than grey markers
= 5 u - 1 u
= 4 u
4 u = 316
1 u = 316 ÷ 4 = 79
Number of grey markers
= 5 u
= 5 x 79
= 395
Answer(s): (a) 3 : 1 : 5; (b) 395