There were 130 dragonfruits and kiwis altogether. After
45 of the dragonfruits and half of the kiwis were thrown away, there were a total of 47 dragonfruits and kiwis left. What fraction of the fruits were kiwis at first? Give your answer in its simplest form.
|
Dragonfruits |
Kiwis |
Total |
Before |
5 u |
2 p |
130 |
Change |
- 4 u |
- 1 p |
- 83 |
After |
1 u |
1 p |
47 |
Number of dragonfruits and kiwis thrown away
= 130 - 47
= 83
4 u + 1 p = 83
1 p = 83 - 4 u --- (1)
1 u + 1 p = 47
1 p = 47 - 1 u --- (2)
(2) = (1)
47 - 1 u = 83 - 4 u
4 u - 1 u = 83 - 47
3 u = 36
1 u = 36 ÷ 3 = 12
Number of dragonfruits at first
= 5 u
= 5 x 12
= 60
Number of kiwis at first
= 130 - 60
= 70
Fraction of the fruits that were kiwis at first
=
70130 =
713 Answer(s):
713