PSLE Japheth kept his green and grey stars in two boxes. The ratio of the number of green to grey stars in the first box was 5 : 6 and it was 1 : 2 in the second box. The two boxes contained the same number of stars. What fraction of Japheth's stars were grey stars?
First box |
Second box |
1x33 33 u |
1x33 33 u |
11x3 |
3x11 |
Green |
Grey |
Green |
Grey |
5x3 |
6x3 |
1x11 |
2x11 |
15 u |
18 u |
11 u |
22 u |
The total number of stars in the first box and the second box is the same. Make the total number of stars in each box the same.
LCM of 11 and 3 is 33.
Total number of grey stars
= 18 u + 22 u
= 40 u
Total number of stars
= 33 u + 33 u
= 66 u
Fraction of Japheth's stars that were grey stars
=
4066 =
2033 Answer(s):
2033