There were some white, pink and purple notebooks in a box.
111 of the notebooks were pink. The ratio of the number of white notebooks to the number of purple notebooks was 3 : 7. There were 276 fewer pink notebooks than purple notebooks.
- Find the ratio of the number of white notebooks to the number of pink notebooks to the number of purple notebooks in the box.
- How many purple notebooks were there?
Pink |
White |
Purple |
Total |
1 |
10 |
11 |
|
3 |
7 |
|
1 u |
3 u |
7 u |
11 u |
(a)
White : Pink : Purple
3 : 1 : 7
(b)
Number of fewer pink notebooks than purple notebooks
= 7 u - 1 u
= 6 u
6 u = 276
1 u = 276 ÷ 6 = 46
Number of purple notebooks
= 7 u
= 7 x 46
= 322
Answer(s): (a) 3 : 1 : 7; (b) 322