There were 112 passion fruits and lemons altogether. After
34 of the passion fruits and half of the lemons were thrown away, there were a total of 43 passion fruits and lemons left. What fraction of the fruits were passion fruits at first? Give your answer in its simplest form.
| |
Passion Fruits |
Lemons |
Total |
| Before |
4 u |
2 p |
112 |
| Change |
- 3 u |
- 1 p |
- 69 |
| After |
1 u |
1 p |
43 |
Number of passion fruits and lemons thrown away
= 112 - 43
= 69
3 u + 1 p = 69
1 p = 69 - 3 u --- (1)
1 u + 1 p = 43
1 p = 43 - 1 u --- (2)
(2) = (1)
43 - 1 u = 69 - 3 u
3 u - 1 u = 69 - 43
2 u = 26
1 u = 26 ÷ 2 = 13
Number of passion fruits at first
= 4 u
= 4 x 13
= 52
Fraction of the fruits that were passion fruits at first
=
52112 =
1328 Answer(s):
1328 
