PSLE Luis kept his red and blue marbles in two boxes. The ratio of the number of red to blue marbles in the first box was 3 : 8 and it was 1 : 2 in the second box. The two boxes contained the same number of marbles. What fraction of Luis's marbles were blue marbles?
First box |
Second box |
1x33 33 u |
1x33 33 u |
11x3 |
3x11 |
Red |
Blue |
Red |
Blue |
3x3 |
8x3 |
1x11 |
2x11 |
9 u |
24 u |
11 u |
22 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 11 and 3 is 33.
Total number of blue marbles
= 24 u + 22 u
= 46 u
Total number of marbles
= 33 u + 33 u
= 66 u
Fraction of Luis's marbles that were blue marbles
=
4666 =
2333 Answer(s):
2333