A packet contained blue, pink and purple files.
35 of the files were blue and
19 of the remainder were pink files.The rest were purple files.
- Find the ratio of the number of purple files to the number of blue files.
- There were 150 fewer pink files than blue files. How many files were there in the packet?
| Blue files |
Pink files |
Purple files |
| 3x9 |
2x9 |
| |
1x2 |
8x2 |
| 27 u |
2 u |
16 u |
(a)
Fraction of blue files =
35 Fraction of files that are not blue = 1 -
35 =
25Remaining fraction of pink files =
19Remaining fraction of purple files = 1 -
19 =
89The total number of pink files and purple files is the repeated identity.
Make the repeated identity the same by using LCM.
LCM of 2 and 9 = 18
Purple files : Blue files
16 : 27
(b)
Difference in the number of blue files and pink files
= 27 u - 2 u
= 25 u
25 u = 150
1 u = 150 ÷ 25 = 6
Total number of files
= 27 u + 2 u + 16 u
= 45 u
= 45 x 6
= 270
Answer(s): (a) 16 : 27; (b) 270
