There were some pink, purple and grey pens in a box.
112 of the pens were purple. The ratio of the number of pink pens to the number of grey pens was 4 : 7. There were 276 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 |
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 pens than grey pens
= 7 u - 1 u
= 6 u
6 u = 276
1 u = 276 ÷ 6 = 46
Number of grey pens
= 7 u
= 7 x 46
= 322
Answer(s): (a) 4 : 1 : 7; (b) 322