There were 122 pomegranates and chikoos altogether. After
34 of the pomegranates and half of the chikoos were given away, there were a total of 42 pomegranates and chikoos left. What fraction of the fruits were pomegranates at first? Give your answer in its simplest form.
| |
Pomegranates |
Chikoos |
Total |
| Before |
4 u |
2 p |
122 |
| Change |
- 3 u |
- 1 p |
- 80 |
| After |
1 u |
1 p |
42 |
Number of pomegranates and chikoos given away
= 122 - 42
= 80
3 u + 1 p = 80
1 p = 80 - 3 u --- (1)
1 u + 1 p = 42
1 p = 42 - 1 u --- (2)
(2) = (1)
42 - 1 u = 80 - 3 u
3 u - 1 u = 80 - 42
2 u = 38
1 u = 38 ÷ 2 = 19
Number of pomegranates at first
= 4 u
= 4 x 19
= 76
Fraction of the fruits that were pomegranates at first
=
76122 =
3861 Answer(s):
3861 
