PSLE Lee kept his black and purple beads in two boxes. The ratio of the number of black to purple beads in the first box was 3 : 8 and it was 1 : 2 in the second box. The two boxes contained the same number of beads. What fraction of Lee's beads were purple beads?
First box |
Second box |
1x33 33 u |
1x33 33 u |
11x3 |
3x11 |
Black |
Purple |
Black |
Purple |
3x3 |
8x3 |
1x11 |
2x11 |
9 u |
24 u |
11 u |
22 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 11 and 3 is 33.
Total number of purple beads
= 24 u + 22 u
= 46 u
Total number of beads
= 33 u + 33 u
= 66 u
Fraction of Lee's beads that were purple beads
=
4666 =
2333 Answer(s):
2333