PSLE Ryan kept his black and yellow stars in two boxes. The ratio of the number of black to yellow stars in the first box was 1 : 5 and it was 1 : 9 in the second box. The two boxes contained the same number of stars. What fraction of Ryan's stars were black stars?
First box |
Second box |
1x30 30 u |
1x30 30 u |
6x5 |
10x3 |
Black |
Yellow |
Black |
Yellow |
1x5 |
5x5 |
1x3 |
9x3 |
5 u |
25 u |
3 u |
27 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 6 and 10 is 30.
Total number of black stars
= 5 u + 3 u
= 8 u
Total number of stars
= 30 u + 30 u
= 60 u
Fraction of Ryan's stars that were black stars
=
860 =
215 Answer(s):
215