There were 130 starfruits and dragonfruits altogether. After
56 of the starfruits and half of the dragonfruits were given away, there were a total of 25 starfruits and dragonfruits left. What fraction of the fruits were starfruits at first? Give your answer in its simplest form.
| |
Starfruits |
Dragonfruits |
Total |
| Before |
6 u |
2 p |
130 |
| Change |
- 5 u |
- 1 p |
- 105 |
| After |
1 u |
1 p |
25 |
Number of starfruits and dragonfruits given away
= 130 - 25
= 105
5 u + 1 p = 105
1 p = 105 - 5 u --- (1)
1 u + 1 p = 25
1 p = 25 - 1 u --- (2)
(2) = (1)
25 - 1 u = 105 - 5 u
5 u - 1 u = 105 - 25
4 u = 80
1 u = 80 ÷ 4 = 20
Number of starfruits at first
= 6 u
= 6 x 20
= 120
Fraction of the fruits that were starfruits at first
=
120130 =
1213 Answer(s):
1213 
