There were some red, green and yellow pencils in a box.
213 of the pencils were green. The ratio of the number of red pencils to the number of yellow pencils was 4 : 7. There were 260 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 |
2 |
11 |
13 |
|
4 |
7 |
|
2 u |
4 u |
7 u |
13 u |
(a)
Red : Green : Yellow
4 : 2 : 7
(b)
Number of fewer green pencils than yellow pencils
= 7 u - 2 u
= 5 u
5 u = 260
1 u = 260 ÷ 5 = 52
Number of yellow pencils
= 7 u
= 7 x 52
= 364
Answer(s): (a) 4 : 2 : 7; (b) 364