There were some purple, grey and brown pencils in a box.
211 of the pencils were grey. The ratio of the number of purple pencils to the number of brown pencils was 4 : 5. There were 294 fewer grey pencils than brown pencils.
- Find the ratio of the number of purple pencils to the number of grey pencils to the number of brown pencils in the box.
- How many brown pencils were there?
Grey |
Purple |
Brown |
Total |
2 |
9 |
11 |
|
4 |
5 |
|
2 u |
4 u |
5 u |
11 u |
(a)
Purple : Grey : Brown
4 : 2 : 5
(b)
Number of fewer grey pencils than brown pencils
= 5 u - 2 u
= 3 u
3 u = 294
1 u = 294 ÷ 3 = 98
Number of brown pencils
= 5 u
= 5 x 98
= 490
Answer(s): (a) 4 : 2 : 5; (b) 490