There were 108 chikoos and passion fruits altogether. After
34 of the chikoos and half of the passion fruits were sold, there were a total of 43 chikoos and passion fruits left. What fraction of the fruits were passion fruits at first? Give your answer in its simplest form.
| |
Chikoos |
Passion Fruits |
Total |
| Before |
4 u |
2 p |
108 |
| Change |
- 3 u |
- 1 p |
- 65 |
| After |
1 u |
1 p |
43 |
Number of chikoos and passion fruits sold
= 108 - 43
= 65
3 u + 1 p = 65
1 p = 65 - 3 u --- (1)
1 u + 1 p = 43
1 p = 43 - 1 u --- (2)
(2) = (1)
43 - 1 u = 65 - 3 u
3 u - 1 u = 65 - 43
2 u = 22
1 u = 22 ÷ 2 = 11
Number of chikoos at first
= 4 u
= 4 x 11
= 44
Number of passion fruits at first
= 108 - 44
= 64
Fraction of the fruits that were passion fruits at first
=
64108 =
1627 Answer(s):
1627 
