There were 118 persimmons and starfruits altogether. After
34 of the persimmons and half of the starfruits were sold, there were a total of 35 persimmons and starfruits left. What fraction of the fruits were persimmons at first? Give your answer in its simplest form.
| |
Persimmons |
Starfruits |
Total |
| Before |
4 u |
2 p |
118 |
| Change |
- 3 u |
- 1 p |
- 83 |
| After |
1 u |
1 p |
35 |
Number of persimmons and starfruits sold
= 118 - 35
= 83
3 u + 1 p = 83
1 p = 83 - 3 u --- (1)
1 u + 1 p = 35
1 p = 35 - 1 u --- (2)
(2) = (1)
35 - 1 u = 83 - 3 u
3 u - 1 u = 83 - 35
2 u = 48
1 u = 48 ÷ 2 = 24
Number of persimmons at first
= 4 u
= 4 x 24
= 96
Fraction of the fruits that were persimmons at first
=
96118 =
4859 Answer(s):
4859 
