There were some silver, blue and red pencils in a box.
213 of the pencils were blue. The ratio of the number of silver pencils to the number of red pencils was 4 : 7. There were 330 fewer blue pencils than red pencils.
- Find the ratio of the number of silver pencils to the number of blue pencils to the number of red pencils in the box.
- How many red pencils were there?
Blue |
Silver |
Red |
Total |
2 |
11 |
13 |
|
4 |
7 |
|
2 u |
4 u |
7 u |
13 u |
(a)
Silver : Blue : Red
4 : 2 : 7
(b)
Number of fewer blue pencils than red pencils
= 7 u - 2 u
= 5 u
5 u = 330
1 u = 330 ÷ 5 = 66
Number of red pencils
= 7 u
= 7 x 66
= 462
Answer(s): (a) 4 : 2 : 7; (b) 462