PSLE Rael kept his red and green marbles in two boxes. The ratio of the number of red to green marbles in the first box was 1 : 2 and it was 1 : 6 in the second box. The two boxes contained the same number of marbles. What fraction of Rael's marbles were green marbles?
First box |
Second box |
1x21 21 u |
1x21 21 u |
3x7 |
7x3 |
Red |
Green |
Red |
Green |
1x7 |
2x7 |
1x3 |
6x3 |
7 u |
14 u |
3 u |
18 u |
The total number of marbles in the first box and the second box is the same. Make the total number of marbles in each box the same.
LCM of 3 and 7 is 21.
Total number of green marbles
= 14 u + 18 u
= 32 u
Total number of marbles
= 21 u + 21 u
= 42 u
Fraction of Rael's marbles that were green marbles
=
3242 =
1621 Answer(s):
1621