PSLE At first, Rachel had an equal number of purple and yellow marbles . She gave away
35 of her purple marbles and some yellow marbles. In the end, she was left with
25 of her marbles. What fraction of the yellow marbles did Rachel give away?
|
Purple |
Yellow |
Total |
Comparing purple marbles and yellow marbles at first |
1x5x1 = 5 u |
1x5x1 = 5 u |
2x5x1 = 10 u |
Before |
5x1 = 5 u |
5 u |
5x2 = 10 u |
Change |
- 3x1 = - 3 u |
- 3 u |
- 2x2 = - 6 u |
After |
2x1 = 2 u |
2 u |
3x2 = 4 u |
After
2x1 =
2 u2 u
3x2 =
4 uThe number of purple marbles at first is repeated. Make the number of purple marbles the first the same. LCM of 5 and 1 is 5.
The total number of marbles at first is repeated. Make the total number of marbles at first the same. LCM of 10 and 5 is 10.
Number of yellow marbles that Rachel was left with
= 4 u - 2 u
= 2 u
Number of yellow marbles that Rachel gave away
= 5 u - 2 u
= 3 u
Fraction of the yellow marbles that Rachel gave away =
35 Answer(s):
35