There were 124 pomegranates and kiwis altogether. After
34 of the pomegranates and half of the kiwis were sold, there were a total of 40 pomegranates and kiwis left. What fraction of the fruits were pomegranates at first? Give your answer in its simplest form.
|
Pomegranates |
Kiwis |
Total |
Before |
4 u |
2 p |
124 |
Change |
- 3 u |
- 1 p |
- 84 |
After |
1 u |
1 p |
40 |
Number of pomegranates and kiwis sold
= 124 - 40
= 84
3 u + 1 p = 84
1 p = 84 - 3 u --- (1)
1 u + 1 p = 40
1 p = 40 - 1 u --- (2)
(2) = (1)
40 - 1 u = 84 - 3 u
3 u - 1 u = 84 - 40
2 u = 44
1 u = 44 ÷ 2 = 22
Number of pomegranates at first
= 4 u
= 4 x 22
= 88
Fraction of the fruits that were pomegranates at first
=
88124 =
2231 Answer(s):
2231