There were 122 pomegranates and kiwis altogether. After
78 of the pomegranates and half of the kiwis were sold, there were a total of 46 pomegranates and kiwis left. What fraction of the fruits were pomegranates at first? Give your answer in its simplest form.
| |
Pomegranates |
Kiwis |
Total |
| Before |
8 u |
2 p |
122 |
| Change |
- 7 u |
- 1 p |
- 76 |
| After |
1 u |
1 p |
46 |
Number of pomegranates and kiwis sold
= 122 - 46
= 76
7 u + 1 p = 76
1 p = 76 - 7 u --- (1)
1 u + 1 p = 46
1 p = 46 - 1 u --- (2)
(2) = (1)
46 - 1 u = 76 - 7 u
7 u - 1 u = 76 - 46
6 u = 30
1 u = 30 ÷ 6 = 5
Number of pomegranates at first
= 8 u
= 8 x 5
= 40
Fraction of the fruits that were pomegranates at first
=
40122 =
2061 Answer(s):
2061 
