PSLE Flynn kept his purple and yellow marbles in two boxes. The ratio of the number of purple to yellow marbles in the first box was 1 : 5 and it was 1 : 2 in the second box. The two boxes contained the same number of marbles. What fraction of Flynn's marbles were purple marbles?
First box |
Second box |
1x6 6 u |
1x6 6 u |
6x1 |
3x2 |
Purple |
Yellow |
Purple |
Yellow |
1x1 |
5x1 |
1x2 |
2x2 |
1 u |
5 u |
2 u |
4 u |
The total number of marbles in the first box and the second box is the same. Make the total number of marbles in each box the same. LCM of 6 and 3 is 6.
Total number of purple marbles
= 1 u + 2 u
= 3 u
Total number of marbles
= 6 u + 6 u
= 12 u
Fraction of Flynn's marbles that were purple marbles
=
312 =
14 Answer(s):
14