There were 136 kiwis and dragonfruits altogether. After
34 of the kiwis and half of the dragonfruits were sold, there were a total of 49 kiwis and dragonfruits left. What fraction of the fruits were kiwis at first? Give your answer in its simplest form.
| |
Kiwis |
Dragonfruits |
Total |
| Before |
4 u |
2 p |
136 |
| Change |
- 3 u |
- 1 p |
- 87 |
| After |
1 u |
1 p |
49 |
Number of kiwis and dragonfruits sold
= 136 - 49
= 87
3 u + 1 p = 87
1 p = 87 - 3 u --- (1)
1 u + 1 p = 49
1 p = 49 - 1 u --- (2)
(2) = (1)
49 - 1 u = 87 - 3 u
3 u - 1 u = 87 - 49
2 u = 38
1 u = 38 ÷ 2 = 19
Number of kiwis at first
= 4 u
= 4 x 19
= 76
Fraction of the fruits that were kiwis at first
=
76136 =
1934 Answer(s):
1934 
