There were 134 kiwis and lemons altogether. After
78 of the kiwis and half of the lemons were sold, there were a total of 31 kiwis and lemons left. What fraction of the fruits were kiwis at first? Give your answer in its simplest form.
| |
Kiwis |
Lemons |
Total |
| Before |
8 u |
2 p |
134 |
| Change |
- 7 u |
- 1 p |
- 103 |
| After |
1 u |
1 p |
31 |
Number of kiwis and lemons sold
= 134 - 31
= 103
7 u + 1 p = 103
1 p = 103 - 7 u --- (1)
1 u + 1 p = 31
1 p = 31 - 1 u --- (2)
(2) = (1)
31 - 1 u = 103 - 7 u
7 u - 1 u = 103 - 31
6 u = 72
1 u = 72 ÷ 6 = 12
Number of kiwis at first
= 8 u
= 8 x 12
= 96
Fraction of the fruits that were kiwis at first
=
96134 =
4867 Answer(s):
4867 
