There were some black, gold and silver pencils in a box.
19 of the pencils were gold. The ratio of the number of black pencils to the number of silver pencils was 3 : 5. There were 272 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 |
1 |
8 |
9 |
|
3 |
5 |
|
1 u |
3 u |
5 u |
9 u |
(a)
Black : Gold : Silver
3 : 1 : 5
(b)
Number of fewer gold pencils than silver pencils
= 5 u - 1 u
= 4 u
4 u = 272
1 u = 272 ÷ 4 = 68
Number of silver pencils
= 5 u
= 5 x 68
= 340
Answer(s): (a) 3 : 1 : 5; (b) 340