There were some black, gold and silver pencils in a box.
213 of the pencils were gold. The ratio of the number of black pencils to the number of silver pencils was 4 : 7. There were 335 fewer gold pencils than silver pencils.
- Find the ratio of the number of black pencils to the number of gold pencils to the number of silver pencils in the box.
- How many silver pencils were there?
Gold |
Black |
Silver |
Total |
2 |
11 |
13 |
|
4 |
7 |
|
2 u |
4 u |
7 u |
13 u |
(a)
Black : Gold : Silver
4 : 2 : 7
(b)
Number of fewer gold pencils than silver pencils
= 7 u - 2 u
= 5 u
5 u = 335
1 u = 335 ÷ 5 = 67
Number of silver pencils
= 7 u
= 7 x 67
= 469
Answer(s): (a) 4 : 2 : 7; (b) 469