There were 114 chikoos and kiwis altogether. After
67 of the chikoos and half of the kiwis were sold, there were a total of 27 chikoos and kiwis left. What fraction of the fruits were kiwis at first? Give your answer in its simplest form.
| |
Chikoos |
Kiwis |
Total |
| Before |
7 u |
2 p |
114 |
| Change |
- 6 u |
- 1 p |
- 87 |
| After |
1 u |
1 p |
27 |
Number of chikoos and kiwis sold
= 114 - 27
= 87
6 u + 1 p = 87
1 p = 87 - 6 u --- (1)
1 u + 1 p = 27
1 p = 27 - 1 u --- (2)
(2) = (1)
27 - 1 u = 87 - 6 u
6 u - 1 u = 87 - 27
5 u = 60
1 u = 60 ÷ 5 = 12
Number of chikoos at first
= 7 u
= 7 x 12
= 84
Number of kiwis at first
= 114 - 84
= 30
Fraction of the fruits that were kiwis at first
=
30114 =
519 Answer(s):
519 
