There were 95 dragonfruits and kiwis altogether. After
45 of the dragonfruits and half of the kiwis were given away, there were a total of 40 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 |
95 |
| Change |
- 4 u |
- 1 p |
- 55 |
| After |
1 u |
1 p |
40 |
Number of dragonfruits and kiwis given away
= 95 - 40
= 55
4 u + 1 p = 55
1 p = 55 - 4 u --- (1)
1 u + 1 p = 40
1 p = 40 - 1 u --- (2)
(2) = (1)
40 - 1 u = 55 - 4 u
4 u - 1 u = 55 - 40
3 u = 15
1 u = 15 ÷ 3 = 5
Number of dragonfruits at first
= 5 u
= 5 x 5
= 25
Number of kiwis at first
= 95 - 25
= 70
Fraction of the fruits that were kiwis at first
=
7095 =
1419 Answer(s):
1419 
