There were some blue, red and green pencils in a box.
19 of the pencils were red. The ratio of the number of blue pencils to the number of green pencils was 3 : 5. There were 288 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 |
8 |
9 |
|
3 |
5 |
|
1 u |
3 u |
5 u |
9 u |
(a)
Blue : Red : Green
3 : 1 : 5
(b)
Number of fewer red pencils than green pencils
= 5 u - 1 u
= 4 u
4 u = 288
1 u = 288 ÷ 4 = 72
Number of green pencils
= 5 u
= 5 x 72
= 360
Answer(s): (a) 3 : 1 : 5; (b) 360