There were some brown, black and gold staplers in a box.
110 of the staplers were black. The ratio of the number of brown staplers to the number of gold staplers was 4 : 5. There were 264 fewer black staplers than gold staplers.
- Find the ratio of the number of brown staplers to the number of black staplers to the number of gold staplers in the box.
- How many gold staplers were there?
Black |
Brown |
Gold |
Total |
1 |
9 |
10 |
|
4 |
5 |
|
1 u |
4 u |
5 u |
10 u |
(a)
Brown : Black : Gold
4 : 1 : 5
(b)
Number of fewer black staplers than gold staplers
= 5 u - 1 u
= 4 u
4 u = 264
1 u = 264 ÷ 4 = 66
Number of gold staplers
= 5 u
= 5 x 66
= 330
Answer(s): (a) 4 : 1 : 5; (b) 330