There were some blue, red and green pencils in a box.
112 of the pencils were red. The ratio of the number of blue pencils to the number of green pencils was 4 : 7. There were 264 fewer red pencils than green pencils.
- Find the ratio of the number of blue pencils to the number of red pencils to the number of green pencils in the box.
- How many green pencils were there?
Red |
Blue |
Green |
Total |
1 |
11 |
12 |
|
4 |
7 |
|
1 u |
4 u |
7 u |
12 u |
(a)
Blue : Red : Green
4 : 1 : 7
(b)
Number of fewer red pencils than green pencils
= 7 u - 1 u
= 6 u
6 u = 264
1 u = 264 ÷ 6 = 44
Number of green pencils
= 7 u
= 7 x 44
= 308
Answer(s): (a) 4 : 1 : 7; (b) 308