There were 93 dragonfruits and lemons altogether. After
45 of the dragonfruits and half of the lemons were sold, there were a total of 33 dragonfruits and lemons left. What fraction of the fruits were dragonfruits at first? Give your answer in its simplest form.
| |
Dragonfruits |
Lemons |
Total |
| Before |
5 u |
2 p |
93 |
| Change |
- 4 u |
- 1 p |
- 60 |
| After |
1 u |
1 p |
33 |
Number of dragonfruits and lemons sold
= 93 - 33
= 60
4 u + 1 p = 60
1 p = 60 - 4 u --- (1)
1 u + 1 p = 33
1 p = 33 - 1 u --- (2)
(2) = (1)
33 - 1 u = 60 - 4 u
4 u - 1 u = 60 - 33
3 u = 27
1 u = 27 ÷ 3 = 9
Number of dragonfruits at first
= 5 u
= 5 x 9
= 45
Fraction of the fruits that were dragonfruits at first
=
4593 =
1531 Answer(s):
1531 
