PSLE David kept his gold and grey balls in two boxes. The ratio of the number of gold to grey balls in the first box was 1 : 8 and it was 1 : 2 in the second box. The two boxes contained the same number of balls. What fraction of David's balls were grey balls?
First box |
Second box |
1x9 9 u |
1x9 9 u |
9x1 |
3x3 |
Gold |
Grey |
Gold |
Grey |
1x1 |
8x1 |
1x3 |
2x3 |
1 u |
8 u |
3 u |
6 u |
The total number of balls in the first box and the second box is the same. Make the total number of balls in each box the same.
LCM of 9 and 3 is 9.
Total number of grey balls
= 8 u + 6 u
= 14 u
Total number of balls
= 9 u + 9 u
= 18 u
Fraction of David's balls that were grey balls
=
1418 =
79 Answer(s):
79