There were some grey, brown and black markers in a box.
111 of the markers were brown. The ratio of the number of grey markers to the number of black markers was 3 : 7. There were 318 fewer brown markers than black markers.
- Find the ratio of the number of grey markers to the number of brown markers to the number of black markers in the box.
- How many black markers were there?
Brown |
Grey |
Black |
Total |
1 |
10 |
11 |
|
3 |
7 |
|
1 u |
3 u |
7 u |
11 u |
(a)
Grey : Brown : Black
3 : 1 : 7
(b)
Number of fewer brown markers than black markers
= 7 u - 1 u
= 6 u
6 u = 318
1 u = 318 ÷ 6 = 53
Number of black markers
= 7 u
= 7 x 53
= 371
Answer(s): (a) 3 : 1 : 7; (b) 371