There were 134 dragonfruits and pomegranates altogether. After
34 of the dragonfruits and half of the pomegranates were sold, there were a total of 38 dragonfruits and pomegranates left. What fraction of the fruits were pomegranates at first? Give your answer in its simplest form.
| |
Dragonfruits |
Pomegranates |
Total |
| Before |
4 u |
2 p |
134 |
| Change |
- 3 u |
- 1 p |
- 96 |
| After |
1 u |
1 p |
38 |
Number of dragonfruits and pomegranates sold
= 134 - 38
= 96
3 u + 1 p = 96
1 p = 96 - 3 u --- (1)
1 u + 1 p = 38
1 p = 38 - 1 u --- (2)
(2) = (1)
38 - 1 u = 96 - 3 u
3 u - 1 u = 96 - 38
2 u = 58
1 u = 58 ÷ 2 = 29
Number of dragonfruits at first
= 4 u
= 4 x 29
= 116
Number of pomegranates at first
= 134 - 116
= 18
Fraction of the fruits that were pomegranates at first
=
18134 =
967 Answer(s):
967 
