PSLE Henry kept his green and purple cubes in two boxes. The ratio of the number of green to purple cubes in the first box was 3 : 7 and it was 1 : 4 in the second box. The two boxes contained the same number of cubes. What fraction of Henry's cubes were green cubes?
First box |
Second box |
1x10 10 u |
1x10 10 u |
10x1 |
5x2 |
Green |
Purple |
Green |
Purple |
3x1 |
7x1 |
1x2 |
4x2 |
3 u |
7 u |
2 u |
8 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 10 and 5 is 10.
Total number of green cubes
= 3 u + 2 u
= 5 u
Total number of cubes
= 10 u + 10 u
= 20 u
Fraction of Henry's cubes that were green cubes
=
520 =
14 Answer(s):
14