There were some yellow, white and pink pencils in a box.
112 of the pencils were white. The ratio of the number of yellow pencils to the number of pink pencils was 4 : 7. There were 264 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 |
11 |
12 |
|
4 |
7 |
|
1 u |
4 u |
7 u |
12 u |
(a)
Yellow : White : Pink
4 : 1 : 7
(b)
Number of fewer white pencils than pink pencils
= 7 u - 1 u
= 6 u
6 u = 264
1 u = 264 ÷ 6 = 44
Number of pink pencils
= 7 u
= 7 x 44
= 308
Answer(s): (a) 4 : 1 : 7; (b) 308