There were some pink, purple and grey markers in a box.
111 of the markers were purple. The ratio of the number of pink markers to the number of grey markers was 3 : 7. 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 |
1 |
10 |
11 |
|
3 |
7 |
|
1 u |
3 u |
7 u |
11 u |
(a)
Pink : Purple : Grey
3 : 1 : 7
(b)
Number of fewer purple markers than grey markers
= 7 u - 1 u
= 6 u
6 u = 270
1 u = 270 ÷ 6 = 45
Number of grey markers
= 7 u
= 7 x 45
= 315
Answer(s): (a) 3 : 1 : 7; (b) 315