There were 118 guavas and dragonfruits altogether. After
34 of the guavas and half of the dragonfruits were sold, there were a total of 31 guavas and dragonfruits left. What fraction of the fruits were dragonfruits at first? Give your answer in its simplest form.
| |
Guavas |
Dragonfruits |
Total |
| Before |
4 u |
2 p |
118 |
| Change |
- 3 u |
- 1 p |
- 87 |
| After |
1 u |
1 p |
31 |
Number of guavas and dragonfruits sold
= 118 - 31
= 87
3 u + 1 p = 87
1 p = 87 - 3 u --- (1)
1 u + 1 p = 31
1 p = 31 - 1 u --- (2)
(2) = (1)
31 - 1 u = 87 - 3 u
3 u - 1 u = 87 - 31
2 u = 56
1 u = 56 ÷ 2 = 28
Number of guavas at first
= 4 u
= 4 x 28
= 112
Number of dragonfruits at first
= 118 - 112
= 6
Fraction of the fruits that were dragonfruits at first
=
6118 =
359 Answer(s):
359 
