PSLE Owen kept his gold and blue coins in two boxes. The ratio of the number of gold to blue coins in the first box was 1 : 9 and it was 1 : 5 in the second box. The two boxes contained the same number of coins. What fraction of Owen's coins were gold coins?
First box |
Second box |
1x30 30 u |
1x30 30 u |
10x3 |
6x5 |
Gold |
Blue |
Gold |
Blue |
1x3 |
9x3 |
1x5 |
5x5 |
3 u |
27 u |
5 u |
25 u |
The total number of coins in the first box and the second box is the same. Make the total number of coins in each box the same. LCM of 10 and 6 is 30.
Total number of gold coins
= 3 u + 5 u
= 8 u
Total number of coins
= 30 u + 30 u
= 60 u
Fraction of Owen's coins that were gold coins
=
860 =
215 Answer(s):
215