There were 132 dragonfruits and persimmons altogether. After
78 of the dragonfruits and half of the persimmons were sold, there were a total of 39 dragonfruits and persimmons left. What fraction of the fruits were dragonfruits at first? Give your answer in its simplest form.
| |
Dragonfruits |
Persimmons |
Total |
| Before |
8 u |
2 p |
132 |
| Change |
- 7 u |
- 1 p |
- 93 |
| After |
1 u |
1 p |
39 |
Number of dragonfruits and persimmons sold
= 132 - 39
= 93
7 u + 1 p = 93
1 p = 93 - 7 u --- (1)
1 u + 1 p = 39
1 p = 39 - 1 u --- (2)
(2) = (1)
39 - 1 u = 93 - 7 u
7 u - 1 u = 93 - 39
6 u = 54
1 u = 54 ÷ 6 = 9
Number of dragonfruits at first
= 8 u
= 8 x 9
= 72
Fraction of the fruits that were dragonfruits at first
=
72132 =
611 Answer(s):
611 
