PSLE Elijah kept his yellow and white stars in two boxes. The ratio of the number of yellow to white stars in the first box was 1 : 6 and it was 1 : 2 in the second box. The two boxes contained the same number of stars. What fraction of Elijah's stars were white stars?
First box |
Second box |
1x21 21 u |
1x21 21 u |
7x3 |
3x7 |
Yellow |
White |
Yellow |
White |
1x3 |
6x3 |
1x7 |
2x7 |
3 u |
18 u |
7 u |
14 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 7 and 3 is 21.
Total number of white stars
= 18 u + 14 u
= 32 u
Total number of stars
= 21 u + 21 u
= 42 u
Fraction of Elijah's stars that were white stars
=
3242 =
1621 Answer(s):
1621