There were some purple, grey and brown markers in a box.
213 of the markers were grey. The ratio of the number of purple markers to the number of brown markers was 4 : 7. There were 260 fewer grey markers than brown markers.
- Find the ratio of the number of purple markers to the number of grey markers to the number of brown markers in the box.
- How many brown markers were there?
Grey |
Purple |
Brown |
Total |
2 |
11 |
13 |
|
4 |
7 |
|
2 u |
4 u |
7 u |
13 u |
(a)
Purple : Grey : Brown
4 : 2 : 7
(b)
Number of fewer grey markers than brown markers
= 7 u - 2 u
= 5 u
5 u = 260
1 u = 260 ÷ 5 = 52
Number of brown markers
= 7 u
= 7 x 52
= 364
Answer(s): (a) 4 : 2 : 7; (b) 364