There were some white, pink and purple pens in a box.
110 of the pens were pink. The ratio of the number of white pens to the number of purple pens was 4 : 5. There were 288 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 |
1 |
9 |
10 |
|
4 |
5 |
|
1 u |
4 u |
5 u |
10 u |
(a)
White : Pink : Purple
4 : 1 : 5
(b)
Number of fewer pink pens than purple pens
= 5 u - 1 u
= 4 u
4 u = 288
1 u = 288 ÷ 4 = 72
Number of purple pens
= 5 u
= 5 x 72
= 360
Answer(s): (a) 4 : 1 : 5; (b) 360