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