There were some black, gold and silver staplers in a box.
112 of the staplers were gold. The ratio of the number of black staplers to the number of silver staplers was 4 : 7. There were 294 fewer gold staplers than silver staplers.
- Find the ratio of the number of black staplers to the number of gold staplers to the number of silver staplers in the box.
- How many silver staplers were there?
Gold |
Black |
Silver |
Total |
1 |
11 |
12 |
|
4 |
7 |
|
1 u |
4 u |
7 u |
12 u |
(a)
Black : Gold : Silver
4 : 1 : 7
(b)
Number of fewer gold staplers than silver staplers
= 7 u - 1 u
= 6 u
6 u = 294
1 u = 294 ÷ 6 = 49
Number of silver staplers
= 7 u
= 7 x 49
= 343
Answer(s): (a) 4 : 1 : 7; (b) 343