Irene and Winnie have some files in the ratio 3 : 11. Irene has 64 less files than Winnie. How many files must Winnie give to Irene so that they will have the same number of files?
| |
Irene |
Winnie |
Total |
| Before |
3 u |
11 u |
14 u |
| Change |
+ 4 u |
- 4 u |
|
After |
1x7 =
7 u |
1x7 =
7 u |
2x7 =
14 u |
The total number of files remains unchanged. Make the total number of files at first and in the end the same. LCM of 2 and 14 is 14.
Difference in the number of files at first
= 11 u - 3 u
= 8 u
8 u = 64
1 u = 64 ÷ 8 = 8
Number of files that each of them had in the end
= 14 u ÷ 2
= 7 u
Number of files that Winnie must give to Irene
= 7 u - 3 u
= 4 u
= 4 x 8
= 32
Answer(s): 32
