There were some green, yellow and white notebooks in a box.
112 of the notebooks were yellow. The ratio of the number of green notebooks to the number of white notebooks was 4 : 7. There were 318 fewer yellow notebooks than white notebooks.
- Find the ratio of the number of green notebooks to the number of yellow notebooks to the number of white notebooks in the box.
- How many white notebooks were there?
Yellow |
Green |
White |
Total |
1 |
11 |
12 |
|
4 |
7 |
|
1 u |
4 u |
7 u |
12 u |
(a)
Green : Yellow : White
4 : 1 : 7
(b)
Number of fewer yellow notebooks than white notebooks
= 7 u - 1 u
= 6 u
6 u = 318
1 u = 318 ÷ 6 = 53
Number of white notebooks
= 7 u
= 7 x 53
= 371
Answer(s): (a) 4 : 1 : 7; (b) 371