There were some purple, grey and brown staplers in a box.
19 of the staplers were grey. The ratio of the number of purple staplers to the number of brown staplers was 3 : 5. There were 292 fewer grey staplers than brown staplers.
- Find the ratio of the number of purple staplers to the number of grey staplers to the number of brown staplers in the box.
- How many brown staplers were there?
Grey |
Purple |
Brown |
Total |
1 |
8 |
9 |
|
3 |
5 |
|
1 u |
3 u |
5 u |
9 u |
(a)
Purple : Grey : Brown
3 : 1 : 5
(b)
Number of fewer grey staplers than brown staplers
= 5 u - 1 u
= 4 u
4 u = 292
1 u = 292 ÷ 4 = 73
Number of brown staplers
= 5 u
= 5 x 73
= 365
Answer(s): (a) 3 : 1 : 5; (b) 365