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