There were 94 pomegranates and persimmons altogether. After
45 of the pomegranates and half of the persimmons were sold, there were a total of 38 pomegranates and persimmons left. What fraction of the fruits were persimmons at first? Give your answer in its simplest form.
| |
Pomegranates |
Persimmons |
Total |
| Before |
5 u |
2 p |
94 |
| Change |
- 4 u |
- 1 p |
- 56 |
| After |
1 u |
1 p |
38 |
Number of pomegranates and persimmons sold
= 94 - 38
= 56
4 u + 1 p = 56
1 p = 56 - 4 u --- (1)
1 u + 1 p = 38
1 p = 38 - 1 u --- (2)
(2) = (1)
38 - 1 u = 56 - 4 u
4 u - 1 u = 56 - 38
3 u = 18
1 u = 18 ÷ 3 = 6
Number of pomegranates at first
= 5 u
= 5 x 6
= 30
Number of persimmons at first
= 94 - 30
= 64
Fraction of the fruits that were persimmons at first
=
6494 =
3247 Answer(s):
3247 
