PSLE Bobby kept his red and purple coins in two boxes. The ratio of the number of red to purple coins in the first box was 1 : 10 and it was 1 : 2 in the second box. The two boxes contained the same number of coins. What fraction of Bobby's coins were purple coins?
First box |
Second box |
1x33 33 u |
1x33 33 u |
11x3 |
3x11 |
Red |
Purple |
Red |
Purple |
1x3 |
10x3 |
1x11 |
2x11 |
3 u |
30 u |
11 u |
22 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 11 and 3 is 33.
Total number of purple coins
= 30 u + 22 u
= 52 u
Total number of coins
= 33 u + 33 u
= 66 u
Fraction of Bobby's coins that were purple coins
=
5266 =
2633 Answer(s):
2633