There were some pink, purple and grey staplers in a box.
211 of the staplers were purple. The ratio of the number of pink staplers to the number of grey staplers was 4 : 5. There were 261 fewer purple staplers than grey staplers.
- Find the ratio of the number of pink staplers to the number of purple staplers to the number of grey staplers in the box.
- How many grey staplers were there?
Purple |
Pink |
Grey |
Total |
2 |
9 |
11 |
|
4 |
5 |
|
2 u |
4 u |
5 u |
11 u |
(a)
Pink : Purple : Grey
4 : 2 : 5
(b)
Number of fewer purple staplers than grey staplers
= 5 u - 2 u
= 3 u
3 u = 261
1 u = 261 ÷ 3 = 87
Number of grey staplers
= 5 u
= 5 x 87
= 435
Answer(s): (a) 4 : 2 : 5; (b) 435