There were 118 kiwis and passion fruits altogether. After
56 of the kiwis and half of the passion fruits were given away, there were a total of 39 kiwis and passion fruits left. What fraction of the fruits were passion fruits at first? Give your answer in its simplest form.
| |
Kiwis |
Passion Fruits |
Total |
| Before |
6 u |
2 p |
118 |
| Change |
- 5 u |
- 1 p |
- 79 |
| After |
1 u |
1 p |
39 |
Number of kiwis and passion fruits given away
= 118 - 39
= 79
5 u + 1 p = 79
1 p = 79 - 5 u --- (1)
1 u + 1 p = 39
1 p = 39 - 1 u --- (2)
(2) = (1)
39 - 1 u = 79 - 5 u
5 u - 1 u = 79 - 39
4 u = 40
1 u = 40 ÷ 4 = 10
Number of kiwis at first
= 6 u
= 6 x 10
= 60
Number of passion fruits at first
= 118 - 60
= 58
Fraction of the fruits that were passion fruits at first
=
58118 =
2959 Answer(s):
2959 
