There were some white, pink and purple pencils in a box.
211 of the pencils were pink. The ratio of the number of white pencils to the number of purple pencils was 4 : 5. There were 252 fewer pink pencils than purple pencils.
- Find the ratio of the number of white pencils to the number of pink pencils to the number of purple pencils in the box.
- How many purple pencils 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 pencils than purple pencils
= 5 u - 2 u
= 3 u
3 u = 252
1 u = 252 ÷ 3 = 84
Number of purple pencils
= 5 u
= 5 x 84
= 420
Answer(s): (a) 4 : 2 : 5; (b) 420