There were 122 persimmons and starfruits altogether. After
67 of the persimmons and half of the starfruits were sold, there were a total of 46 persimmons and starfruits left. What fraction of the fruits were persimmons at first? Give your answer in its simplest form.
| |
Persimmons |
Starfruits |
Total |
| Before |
7 u |
2 p |
122 |
| Change |
- 6 u |
- 1 p |
- 76 |
| After |
1 u |
1 p |
46 |
Number of persimmons and starfruits sold
= 122 - 46
= 76
6 u + 1 p = 76
1 p = 76 - 6 u --- (1)
1 u + 1 p = 46
1 p = 46 - 1 u --- (2)
(2) = (1)
46 - 1 u = 76 - 6 u
6 u - 1 u = 76 - 46
5 u = 30
1 u = 30 ÷ 5 = 6
Number of persimmons at first
= 7 u
= 7 x 6
= 42
Fraction of the fruits that were persimmons at first
=
42122 =
2161 Answer(s):
2161 
