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