There were some grey, brown and black staplers in a box.
211 of the staplers were brown. The ratio of the number of grey staplers to the number of black staplers was 4 : 5. There were 273 fewer brown staplers than black staplers.
- Find the ratio of the number of grey staplers to the number of brown staplers to the number of black staplers in the box.
- How many black staplers were there?
Brown |
Grey |
Black |
Total |
2 |
9 |
11 |
|
4 |
5 |
|
2 u |
4 u |
5 u |
11 u |
(a)
Grey : Brown : Black
4 : 2 : 5
(b)
Number of fewer brown staplers than black staplers
= 5 u - 2 u
= 3 u
3 u = 273
1 u = 273 ÷ 3 = 91
Number of black staplers
= 5 u
= 5 x 91
= 455
Answer(s): (a) 4 : 2 : 5; (b) 455