There were some green, yellow and white pencils in a box.
19 of the pencils were yellow. The ratio of the number of green pencils to the number of white pencils was 3 : 5. There were 300 fewer yellow pencils than white pencils.
- Find the ratio of the number of green pencils to the number of yellow pencils to the number of white pencils in the box.
- How many white pencils were there?
Yellow |
Green |
White |
Total |
1 |
8 |
9 |
|
3 |
5 |
|
1 u |
3 u |
5 u |
9 u |
(a)
Green : Yellow : White
3 : 1 : 5
(b)
Number of fewer yellow pencils than white pencils
= 5 u - 1 u
= 4 u
4 u = 300
1 u = 300 ÷ 4 = 75
Number of white pencils
= 5 u
= 5 x 75
= 375
Answer(s): (a) 3 : 1 : 5; (b) 375