PSLE At first, Kathy had an equal number of yellow and purple beads . She gave away
34 of her yellow beads and some purple beads. In the end, she was left with
14 of her beads. What fraction of the purple beads did Kathy give away?
|
Yellow |
Purple |
Total |
Comparing yellow beads and purple beads at first |
1x4x1 = 4 u |
1x4x1 = 4 u |
2x4x1 = 8 u |
Before |
4x1 = 4 u |
4 u |
4x2 = 8 u |
Change |
- 3x1 = - 3 u |
- 3 u |
- 1x2 = - 6 u |
After |
1x1 = 1 u |
1 u |
3x2 = 2 u |
After
1x1 =
1 u1 u
3x2 =
2 uThe number of yellow beads at first is repeated. Make the number of yellow beads the first the same. LCM of 4 and 1 is 4.
The total number of beads at first is repeated. Make the total number of beads at first the same. LCM of 8 and 4 is 8.
Number of purple beads that Kathy was left with
= 2 u - 1 u
= 1 u
Number of purple beads that Kathy gave away
= 4 u - 1 u
= 3 u
Fraction of the purple beads that Kathy gave away =
34 Answer(s):
34