PSLE Jeremy kept his purple and brown beads in two boxes. The ratio of the number of purple to brown beads in the first box was 1 : 11 and it was 1 : 3 in the second box. The two boxes contained the same number of beads. What fraction of Jeremy's beads were purple beads?
First box |
Second box |
1x12 12 u |
1x12 12 u |
12x1 |
4x3 |
Purple |
Brown |
Purple |
Brown |
1x1 |
11x1 |
1x3 |
3x3 |
1 u |
11 u |
3 u |
9 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 12 and 4 is 12.
Total number of purple beads
= 1 u + 3 u
= 4 u
Total number of beads
= 12 u + 12 u
= 24 u
Fraction of Jeremy's beads that were purple beads
=
424 =
16 Answer(s):
16