There were 92 persimmons and pomegranates altogether. After
56 of the persimmons and half of the pomegranates were sold, there were a total of 42 persimmons and pomegranates left. What fraction of the fruits were persimmons at first? Give your answer in its simplest form.
| |
Persimmons |
Pomegranates |
Total |
| Before |
6 u |
2 p |
92 |
| Change |
- 5 u |
- 1 p |
- 50 |
| After |
1 u |
1 p |
42 |
Number of persimmons and pomegranates sold
= 92 - 42
= 50
5 u + 1 p = 50
1 p = 50 - 5 u --- (1)
1 u + 1 p = 42
1 p = 42 - 1 u --- (2)
(2) = (1)
42 - 1 u = 50 - 5 u
5 u - 1 u = 50 - 42
4 u = 8
1 u = 8 ÷ 4 = 2
Number of persimmons at first
= 6 u
= 6 x 2
= 12
Fraction of the fruits that were persimmons at first
=
1292 =
323 Answer(s):
323 
