There were some blue, red and green notebooks in a box.
213 of the notebooks were red. The ratio of the number of blue notebooks to the number of green notebooks was 4 : 7. There were 305 fewer red notebooks than green notebooks.
- Find the ratio of the number of blue notebooks to the number of red notebooks to the number of green notebooks in the box.
- How many green notebooks were there?
Red |
Blue |
Green |
Total |
2 |
11 |
13 |
|
4 |
7 |
|
2 u |
4 u |
7 u |
13 u |
(a)
Blue : Red : Green
4 : 2 : 7
(b)
Number of fewer red notebooks than green notebooks
= 7 u - 2 u
= 5 u
5 u = 305
1 u = 305 ÷ 5 = 61
Number of green notebooks
= 7 u
= 7 x 61
= 427
Answer(s): (a) 4 : 2 : 7; (b) 427