There were some white, pink and purple pens in a box.
211 of the pens were pink. The ratio of the number of white pens to the number of purple pens was 4 : 5. There were 291 fewer pink pens than purple pens.
- Find the ratio of the number of white pens to the number of pink pens to the number of purple pens in the box.
- How many purple pens were there?
Pink |
White |
Purple |
Total |
2 |
9 |
11 |
|
4 |
5 |
|
2 u |
4 u |
5 u |
11 u |
(a)
White : Pink : Purple
4 : 2 : 5
(b)
Number of fewer pink pens than purple pens
= 5 u - 2 u
= 3 u
3 u = 291
1 u = 291 ÷ 3 = 97
Number of purple pens
= 5 u
= 5 x 97
= 485
Answer(s): (a) 4 : 2 : 5; (b) 485