PSLE At first, Winnie had an equal number of black and purple beads . She gave away
45 of her black beads and some purple beads. In the end, she was left with
25 of her beads. What fraction of the purple beads did Winnie give away?
|
Black |
Purple |
Total |
Comparing black beads and purple beads at first |
1x5x1 = 5 u |
1x5x1 = 5 u |
2x5x1 = 10 u |
Before |
5x1 = 5 u |
5 u |
5x2 = 10 u |
Change |
- 4x1 = - 4 u |
- 2 u |
- 2x2 = - 6 u |
After |
1x1 = 1 u |
3 u |
3x2 = 4 u |
After
1x1 =
1 u3 u
3x2 =
4 uThe number of black beads at first is repeated. Make the number of black beads the first the same. LCM of 5 and 1 is 5.
The total number of beads at first is repeated. Make the total number of beads at first the same. LCM of 10 and 5 is 10.
Number of purple beads that Winnie was left with
= 4 u - 1 u
= 3 u
Number of purple beads that Winnie gave away
= 5 u - 3 u
= 2 u
Fraction of the purple beads that Winnie gave away =
25 Answer(s):
25