There were some black, gold and silver markers in a box.
112 of the markers were gold. The ratio of the number of black markers to the number of silver markers was 4 : 7. There were 318 fewer gold markers than silver markers.
- Find the ratio of the number of black markers to the number of gold markers to the number of silver markers in the box.
- How many silver markers 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 markers than silver markers
= 7 u - 1 u
= 6 u
6 u = 318
1 u = 318 ÷ 6 = 53
Number of silver markers
= 7 u
= 7 x 53
= 371
Answer(s): (a) 4 : 1 : 7; (b) 371