PSLE Ken kept his gold and black beads in two boxes. The ratio of the number of gold to black beads in the first box was 1 : 2 and it was 1 : 4 in the second box. The two boxes contained the same number of beads. What fraction of Ken's beads were gold beads?
First box |
Second box |
1x15 15 u |
1x15 15 u |
3x5 |
5x3 |
Gold |
Black |
Gold |
Black |
1x5 |
2x5 |
1x3 |
4x3 |
5 u |
10 u |
3 u |
12 u |
The total number of beads in the first box and the second box is the same. Make the total number of beads in each box the same. LCM of 3 and 5 is 15.
Total number of gold beads
= 5 u + 3 u
= 8 u
Total number of beads
= 15 u + 15 u
= 30 u
Fraction of Ken's beads that were gold beads
=
830 =
415 Answer(s):
415