There were some yellow, white and pink pencils in a box.
211 of the pencils were white. The ratio of the number of yellow pencils to the number of pink pencils was 4 : 5. There were 282 fewer white pencils than pink pencils.
- Find the ratio of the number of yellow pencils to the number of white pencils to the number of pink pencils in the box.
- How many pink pencils were there?
White |
Yellow |
Pink |
Total |
2 |
9 |
11 |
|
4 |
5 |
|
2 u |
4 u |
5 u |
11 u |
(a)
Yellow : White : Pink
4 : 2 : 5
(b)
Number of fewer white pencils than pink pencils
= 5 u - 2 u
= 3 u
3 u = 282
1 u = 282 ÷ 3 = 94
Number of pink pencils
= 5 u
= 5 x 94
= 470
Answer(s): (a) 4 : 2 : 5; (b) 470