There were some yellow, white and pink pens in a box.
110 of the pens were white. The ratio of the number of yellow pens to the number of pink pens was 4 : 5. There were 256 fewer white pens than pink pens.
- Find the ratio of the number of yellow pens to the number of white pens to the number of pink pens in the box.
- How many pink pens were there?
White |
Yellow |
Pink |
Total |
1 |
9 |
10 |
|
4 |
5 |
|
1 u |
4 u |
5 u |
10 u |
(a)
Yellow : White : Pink
4 : 1 : 5
(b)
Number of fewer white pens than pink pens
= 5 u - 1 u
= 4 u
4 u = 256
1 u = 256 ÷ 4 = 64
Number of pink pens
= 5 u
= 5 x 64
= 320
Answer(s): (a) 4 : 1 : 5; (b) 320