There were some blue, red and green pencils in a box.
110 of the pencils were red. The ratio of the number of blue pencils to the number of green pencils was 4 : 5. There were 272 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 |
9 |
10 |
|
4 |
5 |
|
1 u |
4 u |
5 u |
10 u |
(a)
Blue : Red : Green
4 : 1 : 5
(b)
Number of fewer red pencils than green pencils
= 5 u - 1 u
= 4 u
4 u = 272
1 u = 272 ÷ 4 = 68
Number of green pencils
= 5 u
= 5 x 68
= 340
Answer(s): (a) 4 : 1 : 5; (b) 340