There were some red, green and yellow notebooks in a box.
211 of the notebooks were green. The ratio of the number of red notebooks to the number of yellow notebooks was 4 : 5. There were 267 fewer green notebooks than yellow notebooks.
- Find the ratio of the number of red notebooks to the number of green notebooks to the number of yellow notebooks in the box.
- How many yellow notebooks were there?
Green |
Red |
Yellow |
Total |
2 |
9 |
11 |
|
4 |
5 |
|
2 u |
4 u |
5 u |
11 u |
(a)
Red : Green : Yellow
4 : 2 : 5
(b)
Number of fewer green notebooks than yellow notebooks
= 5 u - 2 u
= 3 u
3 u = 267
1 u = 267 ÷ 3 = 89
Number of yellow notebooks
= 5 u
= 5 x 89
= 445
Answer(s): (a) 4 : 2 : 5; (b) 445