There were some black, gold and silver notebooks in a box.
213 of the notebooks were gold. The ratio of the number of black notebooks to the number of silver notebooks was 4 : 7. There were 255 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 |
2 |
11 |
13 |
|
4 |
7 |
|
2 u |
4 u |
7 u |
13 u |
(a)
Black : Gold : Silver
4 : 2 : 7
(b)
Number of fewer gold notebooks than silver notebooks
= 7 u - 2 u
= 5 u
5 u = 255
1 u = 255 ÷ 5 = 51
Number of silver notebooks
= 7 u
= 7 x 51
= 357
Answer(s): (a) 4 : 2 : 7; (b) 357