PSLE Billy kept his yellow and green cards in two boxes. The ratio of the number of yellow to green cards in the first box was 3 : 4 and it was 1 : 2 in the second box. The two boxes contained the same number of cards. What fraction of Billy's cards were yellow cards?
First box |
Second box |
1x21 21 u |
1x21 21 u |
7x3 |
3x7 |
Yellow |
Green |
Yellow |
Green |
3x3 |
4x3 |
1x7 |
2x7 |
9 u |
12 u |
7 u |
14 u |
The total number of cards in the first box and the second box is the same. Make the total number of cards in each box the same. LCM of 7 and 3 is 21.
Total number of yellow cards
= 9 u + 7 u
= 16 u
Total number of cards
= 21 u + 21 u
= 42 u
Fraction of Billy's cards that were yellow cards
=
1642 =
821 Answer(s):
821