There were 134 kiwis and persimmons altogether. After
56 of the kiwis and half of the persimmons were thrown away, there were a total of 39 kiwis and persimmons left. What fraction of the fruits were kiwis at first? Give your answer in its simplest form.
| |
Kiwis |
Persimmons |
Total |
| Before |
6 u |
2 p |
134 |
| Change |
- 5 u |
- 1 p |
- 95 |
| After |
1 u |
1 p |
39 |
Number of kiwis and persimmons thrown away
= 134 - 39
= 95
5 u + 1 p = 95
1 p = 95 - 5 u --- (1)
1 u + 1 p = 39
1 p = 39 - 1 u --- (2)
(2) = (1)
39 - 1 u = 95 - 5 u
5 u - 1 u = 95 - 39
4 u = 56
1 u = 56 ÷ 4 = 14
Number of kiwis at first
= 6 u
= 6 x 14
= 84
Fraction of the fruits that were kiwis at first
=
84134 =
4267 Answer(s):
4267 
