There were some red, green and yellow pencils in a box.
111 of the pencils were green. The ratio of the number of red pencils to the number of yellow pencils was 3 : 7. There were 270 fewer green pencils than yellow pencils.
- Find the ratio of the number of red pencils to the number of green pencils to the number of yellow pencils in the box.
- How many yellow pencils were there?
Green |
Red |
Yellow |
Total |
1 |
10 |
11 |
|
3 |
7 |
|
1 u |
3 u |
7 u |
11 u |
(a)
Red : Green : Yellow
3 : 1 : 7
(b)
Number of fewer green pencils than yellow pencils
= 7 u - 1 u
= 6 u
6 u = 270
1 u = 270 ÷ 6 = 45
Number of yellow pencils
= 7 u
= 7 x 45
= 315
Answer(s): (a) 3 : 1 : 7; (b) 315