PSLE At first, Fanny had an equal number of gold and purple beads . She gave away
23 of her gold beads and some purple beads. In the end, she was left with
14 of her beads. What fraction of the purple beads did Fanny give away?
|
Gold |
Purple |
Total |
Comparing gold beads and purple beads at first |
1x3x2 = 6 u |
1x3x2 = 6 u |
2x3x2 = 12 u |
Before |
3x2 = 6 u |
6 u |
4x3 = 12 u |
Change |
- 2x2 = - 4 u |
- 5 u |
- 1x3 = - 9 u |
After |
1x2 = 2 u |
1 u |
3x3 = 3 u |
After
1x2 =
2 u1 u
3x3 =
3 uThe number of gold beads at first is repeated. Make the number of gold beads the first the same. LCM of 3 and 1 is 3.
The total number of beads at first is repeated. Make the total number of beads at first the same. LCM of 6 and 4 is 12.
Number of purple beads that Fanny was left with
= 3 u - 2 u
= 1 u
Number of purple beads that Fanny gave away
= 6 u - 1 u
= 5 u
Fraction of the purple beads that Fanny gave away =
56 Answer(s):
56