There were some blue, red and green pens in a box.
110 of the pens were red. The ratio of the number of blue pens to the number of green pens was 4 : 5. There were 296 fewer red pens than green pens.
- Find the ratio of the number of blue pens to the number of red pens to the number of green pens in the box.
- How many green pens 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 pens than green pens
= 5 u - 1 u
= 4 u
4 u = 296
1 u = 296 ÷ 4 = 74
Number of green pens
= 5 u
= 5 x 74
= 370
Answer(s): (a) 4 : 1 : 5; (b) 370