There were some pink, purple and grey pencils in a box.
110 of the pencils were purple. The ratio of the number of pink pencils to the number of grey pencils was 4 : 5. There were 328 fewer purple pencils than grey pencils.
- Find the ratio of the number of pink pencils to the number of purple pencils to the number of grey pencils in the box.
- How many grey pencils were there?
Purple |
Pink |
Grey |
Total |
1 |
9 |
10 |
|
4 |
5 |
|
1 u |
4 u |
5 u |
10 u |
(a)
Pink : Purple : Grey
4 : 1 : 5
(b)
Number of fewer purple pencils than grey pencils
= 5 u - 1 u
= 4 u
4 u = 328
1 u = 328 ÷ 4 = 82
Number of grey pencils
= 5 u
= 5 x 82
= 410
Answer(s): (a) 4 : 1 : 5; (b) 410