PSLE At first, Diana had an equal number of red and black beads . She gave away
25 of her red beads and some black beads. In the end, she was left with
23 of her beads. What fraction of the black beads did Diana give away?
|
Red |
Black |
Total |
Comparing red beads and black beads at first |
1x5x3 = 15 u |
1x5x3 = 15 u |
2x5x3 = 30 u |
Before |
5x3 = 15 u |
15 u |
3x10 = 30 u |
Change |
- 2x3 = - 6 u |
- 4 u |
- 2x10 = - 10 u |
After |
3x3 = 9 u |
11 u |
1x10 = 20 u |
After
3x3 =
9 u11 u
1x10 =
20 uThe number of red beads at first is repeated. Make the number of red 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 3 is 30.
Number of black beads that Diana was left with
= 20 u - 9 u
= 11 u
Number of black beads that Diana gave away
= 15 u - 11 u
= 4 u
Fraction of the black beads that Diana gave away =
415 Answer(s):
415