PSLE Paul kept his white and gold stars in two boxes. The ratio of the number of white to gold stars in the first box was 1 : 2 and it was 3 : 4 in the second box. The two boxes contained the same number of stars. What fraction of Paul's stars were gold stars?
First box |
Second box |
1x21 21 u |
1x21 21 u |
3x7 |
7x3 |
White |
Gold |
White |
Gold |
1x7 |
2x7 |
3x3 |
4x3 |
7 u |
14 u |
9 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 7 is 21.
Total number of gold stars
= 14 u + 12 u
= 26 u
Total number of stars
= 21 u + 21 u
= 42 u
Fraction of Paul's stars that were gold stars
=
2642 =
1321 Answer(s):
1321