There were some purple, grey and brown staplers in a box.
111 of the staplers were grey. The ratio of the number of purple staplers to the number of brown staplers was 3 : 7. There were 252 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 |
10 |
11 |
|
3 |
7 |
|
1 u |
3 u |
7 u |
11 u |
(a)
Purple : Grey : Brown
3 : 1 : 7
(b)
Number of fewer grey staplers than brown staplers
= 7 u - 1 u
= 6 u
6 u = 252
1 u = 252 ÷ 6 = 42
Number of brown staplers
= 7 u
= 7 x 42
= 294
Answer(s): (a) 3 : 1 : 7; (b) 294