There were some pink, purple and grey pens in a box.
213 of the pens were purple. The ratio of the number of pink pens to the number of grey pens was 4 : 7. There were 260 fewer purple pens than grey pens.
- Find the ratio of the number of pink pens to the number of purple pens to the number of grey pens in the box.
- How many grey pens were there?
Purple |
Pink |
Grey |
Total |
2 |
11 |
13 |
|
4 |
7 |
|
2 u |
4 u |
7 u |
13 u |
(a)
Pink : Purple : Grey
4 : 2 : 7
(b)
Number of fewer purple pens than grey pens
= 7 u - 2 u
= 5 u
5 u = 260
1 u = 260 ÷ 5 = 52
Number of grey pens
= 7 u
= 7 x 52
= 364
Answer(s): (a) 4 : 2 : 7; (b) 364