There were 96 persimmons and passion fruits altogether. After
34 of the persimmons and half of the passion fruits were sold, there were a total of 43 persimmons and passion fruits left. What fraction of the fruits were persimmons at first? Give your answer in its simplest form.
| |
Persimmons |
Passion Fruits |
Total |
| Before |
4 u |
2 p |
96 |
| Change |
- 3 u |
- 1 p |
- 53 |
| After |
1 u |
1 p |
43 |
Number of persimmons and passion fruits sold
= 96 - 43
= 53
3 u + 1 p = 53
1 p = 53 - 3 u --- (1)
1 u + 1 p = 43
1 p = 43 - 1 u --- (2)
(2) = (1)
43 - 1 u = 53 - 3 u
3 u - 1 u = 53 - 43
2 u = 10
1 u = 10 ÷ 2 = 5
Number of persimmons at first
= 4 u
= 4 x 5
= 20
Fraction of the fruits that were persimmons at first
=
2096 =
524 Answer(s):
524 
