There were some pink, purple and grey staplers in a box.
110 of the staplers were purple. The ratio of the number of pink staplers to the number of grey staplers was 4 : 5. There were 316 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 |
1 |
9 |
10 |
|
4 |
5 |
|
1 u |
4 u |
5 u |
10 u |
(a)
Pink : Purple : Grey
4 : 1 : 5
(b)
Number of fewer purple staplers than grey staplers
= 5 u - 1 u
= 4 u
4 u = 316
1 u = 316 ÷ 4 = 79
Number of grey staplers
= 5 u
= 5 x 79
= 395
Answer(s): (a) 4 : 1 : 5; (b) 395