There were 128 chikoos and dragonfruits altogether. After
34 of the chikoos and half of the dragonfruits were thrown away, there were a total of 43 chikoos and dragonfruits left. What fraction of the fruits were dragonfruits at first? Give your answer in its simplest form.
| |
Chikoos |
Dragonfruits |
Total |
| Before |
4 u |
2 p |
128 |
| Change |
- 3 u |
- 1 p |
- 85 |
| After |
1 u |
1 p |
43 |
Number of chikoos and dragonfruits thrown away
= 128 - 43
= 85
3 u + 1 p = 85
1 p = 85 - 3 u --- (1)
1 u + 1 p = 43
1 p = 43 - 1 u --- (2)
(2) = (1)
43 - 1 u = 85 - 3 u
3 u - 1 u = 85 - 43
2 u = 42
1 u = 42 ÷ 2 = 21
Number of chikoos at first
= 4 u
= 4 x 21
= 84
Number of dragonfruits at first
= 128 - 84
= 44
Fraction of the fruits that were dragonfruits at first
=
44128 =
1132 Answer(s):
1132 
