A bag contained gold, red and yellow files.
35 of the files were gold and
38 of the remainder were red files.The rest were yellow files.
- Find the ratio of the number of yellow files to the number of gold files.
- There were 153 fewer red files than gold files. How many files were there in the bag?
| Gold files |
Red files |
Yellow files |
| 3x4 |
2x4 |
| |
3x1 |
5x1 |
| 12 u |
3 u |
5 u |
(a)
Fraction of gold files =
35 Fraction of files that are not gold = 1 -
35 =
25Remaining fraction of red files =
38Remaining fraction of yellow files = 1 -
38 =
58The total number of red files and yellow files is the repeated identity.
Make the repeated identity the same by using LCM.
LCM of 2 and 8 = 8
Yellow files : Gold files
5 : 12
(b)
Difference in the number of gold files and red files
= 12 u - 3 u
= 9 u
9 u = 153
1 u = 153 ÷ 9 = 17
Total number of files
= 12 u + 3 u + 5 u
= 20 u
= 20 x 17
= 340
Answer(s): (a) 5 : 12; (b) 340
