There were some white, pink and purple markers in a box.
111 of the markers were pink. The ratio of the number of white markers to the number of purple markers was 3 : 7. There were 258 fewer pink markers than purple markers.
- Find the ratio of the number of white markers to the number of pink markers to the number of purple markers in the box.
- How many purple markers 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 markers than purple markers
= 7 u - 1 u
= 6 u
6 u = 258
1 u = 258 ÷ 6 = 43
Number of purple markers
= 7 u
= 7 x 43
= 301
Answer(s): (a) 3 : 1 : 7; (b) 301