There were 130 kiwis and peaches altogether. After
78 of the kiwis and half of the peaches were sold, there were a total of 35 kiwis and peaches left. What fraction of the fruits were kiwis at first? Give your answer in its simplest form.
| |
Kiwis |
Peaches |
Total |
| Before |
8 u |
2 p |
130 |
| Change |
- 7 u |
- 1 p |
- 95 |
| After |
1 u |
1 p |
35 |
Number of kiwis and peaches sold
= 130 - 35
= 95
7 u + 1 p = 95
1 p = 95 - 7 u --- (1)
1 u + 1 p = 35
1 p = 35 - 1 u --- (2)
(2) = (1)
35 - 1 u = 95 - 7 u
7 u - 1 u = 95 - 35
6 u = 60
1 u = 60 ÷ 6 = 10
Number of kiwis at first
= 8 u
= 8 x 10
= 80
Fraction of the fruits that were kiwis at first
=
80130 =
813 Answer(s):
813 
