There were some pink, purple and grey pencils in a box.
213 of the pencils were purple. The ratio of the number of pink pencils to the number of grey pencils was 4 : 7. There were 340 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 |
2 |
11 |
13 |
|
4 |
7 |
|
2 u |
4 u |
7 u |
13 u |
(a)
Pink : Purple : Grey
4 : 2 : 7
(b)
Number of fewer purple pencils than grey pencils
= 7 u - 2 u
= 5 u
5 u = 340
1 u = 340 ÷ 5 = 68
Number of grey pencils
= 7 u
= 7 x 68
= 476
Answer(s): (a) 4 : 2 : 7; (b) 476