There were some brown, black and gold pens in a box.
111 of the pens were black. The ratio of the number of brown pens to the number of gold pens was 3 : 7. There were 294 fewer black pens than gold pens.
- Find the ratio of the number of brown pens to the number of black pens to the number of gold pens in the box.
- How many gold pens were there?
Black |
Brown |
Gold |
Total |
1 |
10 |
11 |
|
3 |
7 |
|
1 u |
3 u |
7 u |
11 u |
(a)
Brown : Black : Gold
3 : 1 : 7
(b)
Number of fewer black pens than gold pens
= 7 u - 1 u
= 6 u
6 u = 294
1 u = 294 ÷ 6 = 49
Number of gold pens
= 7 u
= 7 x 49
= 343
Answer(s): (a) 3 : 1 : 7; (b) 343