There were some pink, purple and grey staplers in a box.
112 of the staplers were purple. The ratio of the number of pink staplers to the number of grey staplers was 4 : 7. There were 342 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 |
11 |
12 |
|
4 |
7 |
|
1 u |
4 u |
7 u |
12 u |
(a)
Pink : Purple : Grey
4 : 1 : 7
(b)
Number of fewer purple staplers than grey staplers
= 7 u - 1 u
= 6 u
6 u = 342
1 u = 342 ÷ 6 = 57
Number of grey staplers
= 7 u
= 7 x 57
= 399
Answer(s): (a) 4 : 1 : 7; (b) 399