PSLE Harry kept his grey and white stars in two boxes. The ratio of the number of grey to white stars in the first box was 1 : 2 and it was 1 : 4 in the second box. The two boxes contained the same number of stars. What fraction of Harry's stars were grey stars?
First box |
Second box |
1x15 15 u |
1x15 15 u |
3x5 |
5x3 |
Grey |
White |
Grey |
White |
1x5 |
2x5 |
1x3 |
4x3 |
5 u |
10 u |
3 u |
12 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 3 and 5 is 15.
Total number of grey stars
= 5 u + 3 u
= 8 u
Total number of stars
= 15 u + 15 u
= 30 u
Fraction of Harry's stars that were grey stars
=
830 =
415 Answer(s):
415