There were some yellow, white and pink pencils in a box.
19 of the pencils were white. The ratio of the number of yellow pencils to the number of pink pencils was 3 : 5. There were 284 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 |
1 |
8 |
9 |
|
3 |
5 |
|
1 u |
3 u |
5 u |
9 u |
(a)
Yellow : White : Pink
3 : 1 : 5
(b)
Number of fewer white pencils than pink pencils
= 5 u - 1 u
= 4 u
4 u = 284
1 u = 284 ÷ 4 = 71
Number of pink pencils
= 5 u
= 5 x 71
= 355
Answer(s): (a) 3 : 1 : 5; (b) 355