There were some green, yellow and white pencils in a box.
213 of the pencils were yellow. The ratio of the number of green pencils to the number of white pencils was 4 : 7. There were 295 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 |
2 |
11 |
13 |
|
4 |
7 |
|
2 u |
4 u |
7 u |
13 u |
(a)
Green : Yellow : White
4 : 2 : 7
(b)
Number of fewer yellow pencils than white pencils
= 7 u - 2 u
= 5 u
5 u = 295
1 u = 295 ÷ 5 = 59
Number of white pencils
= 7 u
= 7 x 59
= 413
Answer(s): (a) 4 : 2 : 7; (b) 413