There were some red, green and yellow notebooks in a box.
213 of the notebooks were green. The ratio of the number of red notebooks to the number of yellow notebooks was 4 : 7. There were 275 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 |
11 |
13 |
|
4 |
7 |
|
2 u |
4 u |
7 u |
13 u |
(a)
Red : Green : Yellow
4 : 2 : 7
(b)
Number of fewer green notebooks than yellow notebooks
= 7 u - 2 u
= 5 u
5 u = 275
1 u = 275 ÷ 5 = 55
Number of yellow notebooks
= 7 u
= 7 x 55
= 385
Answer(s): (a) 4 : 2 : 7; (b) 385