There were 104 pomegranates and persimmons altogether. After
34 of the pomegranates and half of the persimmons were thrown away, there were a total of 39 pomegranates and persimmons left. What fraction of the fruits were persimmons at first? Give your answer in its simplest form.
| |
Pomegranates |
Persimmons |
Total |
| Before |
4 u |
2 p |
104 |
| Change |
- 3 u |
- 1 p |
- 65 |
| After |
1 u |
1 p |
39 |
Number of pomegranates and persimmons thrown away
= 104 - 39
= 65
3 u + 1 p = 65
1 p = 65 - 3 u --- (1)
1 u + 1 p = 39
1 p = 39 - 1 u --- (2)
(2) = (1)
39 - 1 u = 65 - 3 u
3 u - 1 u = 65 - 39
2 u = 26
1 u = 26 ÷ 2 = 13
Number of pomegranates at first
= 4 u
= 4 x 13
= 52
Number of persimmons at first
= 104 - 52
= 52
Fraction of the fruits that were persimmons at first
=
52104 =
12 Answer(s):
12 
