PSLE Ethan kept his blue and white cards in two boxes. The ratio of the number of blue to white cards in the first box was 1 : 4 and it was 1 : 2 in the second box. The two boxes contained the same number of cards. What fraction of Ethan's cards were blue cards?
First box |
Second box |
1x15 15 u |
1x15 15 u |
5x3 |
3x5 |
Blue |
White |
Blue |
White |
1x3 |
4x3 |
1x5 |
2x5 |
3 u |
12 u |
5 u |
10 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 5 and 3 is 15.
Total number of blue cards
= 3 u + 5 u
= 8 u
Total number of cards
= 15 u + 15 u
= 30 u
Fraction of Ethan's cards that were blue cards
=
830 =
415 Answer(s):
415