There were some black, gold and silver notebooks in a box.
110 of the notebooks were gold. The ratio of the number of black notebooks to the number of silver notebooks was 4 : 5. There were 296 fewer gold notebooks than silver notebooks.
- Find the ratio of the number of black notebooks to the number of gold notebooks to the number of silver notebooks in the box.
- How many silver notebooks were there?
Gold |
Black |
Silver |
Total |
1 |
9 |
10 |
|
4 |
5 |
|
1 u |
4 u |
5 u |
10 u |
(a)
Black : Gold : Silver
4 : 1 : 5
(b)
Number of fewer gold notebooks than silver notebooks
= 5 u - 1 u
= 4 u
4 u = 296
1 u = 296 ÷ 4 = 74
Number of silver notebooks
= 5 u
= 5 x 74
= 370
Answer(s): (a) 4 : 1 : 5; (b) 370