There were some grey, brown and black notebooks in a box.
19 of the notebooks were brown. The ratio of the number of grey notebooks to the number of black notebooks was 3 : 5. There were 304 fewer brown notebooks than black notebooks.
- Find the ratio of the number of grey notebooks to the number of brown notebooks to the number of black notebooks in the box.
- How many black notebooks were there?
Brown |
Grey |
Black |
Total |
1 |
8 |
9 |
|
3 |
5 |
|
1 u |
3 u |
5 u |
9 u |
(a)
Grey : Brown : Black
3 : 1 : 5
(b)
Number of fewer brown notebooks than black notebooks
= 5 u - 1 u
= 4 u
4 u = 304
1 u = 304 ÷ 4 = 76
Number of black notebooks
= 5 u
= 5 x 76
= 380
Answer(s): (a) 3 : 1 : 5; (b) 380