There were 94 passion fruits and persimmons altogether. After
45 of the passion fruits and half of the persimmons were thrown away, there were a total of 35 passion fruits and persimmons left. What fraction of the fruits were passion fruits at first? Give your answer in its simplest form.
| |
Passion Fruits |
Persimmons |
Total |
| Before |
5 u |
2 p |
94 |
| Change |
- 4 u |
- 1 p |
- 59 |
| After |
1 u |
1 p |
35 |
Number of passion fruits and persimmons thrown away
= 94 - 35
= 59
4 u + 1 p = 59
1 p = 59 - 4 u --- (1)
1 u + 1 p = 35
1 p = 35 - 1 u --- (2)
(2) = (1)
35 - 1 u = 59 - 4 u
4 u - 1 u = 59 - 35
3 u = 24
1 u = 24 ÷ 3 = 8
Number of passion fruits at first
= 5 u
= 5 x 8
= 40
Fraction of the fruits that were passion fruits at first
=
4094 =
2047 Answer(s):
2047 
