PSLE Xavier kept his white and red beads in two boxes. The ratio of the number of white to red 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 Xavier's beads were red beads?
First box |
Second box |
1x33 33 u |
1x33 33 u |
11x3 |
3x11 |
White |
Red |
White |
Red |
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 red beads
= 24 u + 22 u
= 46 u
Total number of beads
= 33 u + 33 u
= 66 u
Fraction of Xavier's beads that were red beads
=
4666 =
2333 Answer(s):
2333