There were 94 persimmons and dragonfruits altogether. After
34 of the persimmons and half of the dragonfruits were sold, there were a total of 42 persimmons and dragonfruits left. What fraction of the fruits were dragonfruits at first? Give your answer in its simplest form.
| |
Persimmons |
Dragonfruits |
Total |
| Before |
4 u |
2 p |
94 |
| Change |
- 3 u |
- 1 p |
- 52 |
| After |
1 u |
1 p |
42 |
Number of persimmons and dragonfruits sold
= 94 - 42
= 52
3 u + 1 p = 52
1 p = 52 - 3 u --- (1)
1 u + 1 p = 42
1 p = 42 - 1 u --- (2)
(2) = (1)
42 - 1 u = 52 - 3 u
3 u - 1 u = 52 - 42
2 u = 10
1 u = 10 ÷ 2 = 5
Number of persimmons at first
= 4 u
= 4 x 5
= 20
Number of dragonfruits at first
= 94 - 20
= 74
Fraction of the fruits that were dragonfruits at first
=
7494 =
3747 Answer(s):
3747 
