PSLE Michael kept his blue and purple cubes in two boxes. The ratio of the number of blue to purple cubes in the first box was 1 : 4 and it was 1 : 2 in the second box. The two boxes contained the same number of cubes. What fraction of Michael's cubes were purple cubes?
First box |
Second box |
1x15 15 u |
1x15 15 u |
5x3 |
3x5 |
Blue |
Purple |
Blue |
Purple |
1x3 |
4x3 |
1x5 |
2x5 |
3 u |
12 u |
5 u |
10 u |
The total number of cubes in the first box and the second box is the same. Make the total number of cubes in each box the same.
LCM of 5 and 3 is 15.
Total number of purple cubes
= 12 u + 10 u
= 22 u
Total number of cubes
= 15 u + 15 u
= 30 u
Fraction of Michael's cubes that were purple cubes
=
2230 =
1115 Answer(s):
1115