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