PSLE At first, Fanny had an equal number of red and black marbles . She gave away
23 of her red marbles and some black marbles. In the end, she was left with
14 of her marbles. What fraction of the black marbles did Fanny give away?
|
Red |
Black |
Total |
Comparing red marbles and black marbles 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 red marbles at first is repeated. Make the number of red marbles the first the same. LCM of 3 and 1 is 3.
The total number of marbles at first is repeated. Make the total number of marbles at first the same. LCM of 6 and 4 is 12.
Number of black marbles that Fanny was left with
= 3 u - 2 u
= 1 u
Number of black marbles that Fanny gave away
= 6 u - 1 u
= 5 u
Fraction of the black marbles that Fanny gave away =
56 Answer(s):
56