There were 116 pomegranates and chikoos altogether. After
34 of the pomegranates and half of the chikoos were given away, there were a total of 45 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 |
116 |
Change |
- 3 u |
- 1 p |
- 71 |
After |
1 u |
1 p |
45 |
Number of pomegranates and chikoos given away
= 116 - 45
= 71
3 u + 1 p = 71
1 p = 71 - 3 u --- (1)
1 u + 1 p = 45
1 p = 45 - 1 u --- (2)
(2) = (1)
45 - 1 u = 71 - 3 u
3 u - 1 u = 71 - 45
2 u = 26
1 u = 26 ÷ 2 = 13
Number of pomegranates at first
= 4 u
= 4 x 13
= 52
Fraction of the fruits that were pomegranates at first
=
52116 =
1329 Answer(s):
1329