PSLE Glen kept his gold and purple marbles in two boxes. The ratio of the number of gold to purple marbles in the first box was 2 : 3 and it was 1 : 9 in the second box. The two boxes contained the same number of marbles. What fraction of Glen's marbles were purple marbles?
First box |
Second box |
1x10 10 u |
1x10 10 u |
5x2 |
10x1 |
Gold |
Purple |
Gold |
Purple |
2x2 |
3x2 |
1x1 |
9x1 |
4 u |
6 u |
1 u |
9 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 5 and 10 is 10.
Total number of purple marbles
= 6 u + 9 u
= 15 u
Total number of marbles
= 10 u + 10 u
= 20 u
Fraction of Glen's marbles that were purple marbles
=
1520 =
34 Answer(s):
34