There were 108 starfruits and kiwis altogether. After
45 of the starfruits and half of the kiwis were sold, there were a total of 48 starfruits and kiwis left. What fraction of the fruits were starfruits at first? Give your answer in its simplest form.
| |
Starfruits |
Kiwis |
Total |
| Before |
5 u |
2 p |
108 |
| Change |
- 4 u |
- 1 p |
- 60 |
| After |
1 u |
1 p |
48 |
Number of starfruits and kiwis sold
= 108 - 48
= 60
4 u + 1 p = 60
1 p = 60 - 4 u --- (1)
1 u + 1 p = 48
1 p = 48 - 1 u --- (2)
(2) = (1)
48 - 1 u = 60 - 4 u
4 u - 1 u = 60 - 48
3 u = 12
1 u = 12 ÷ 3 = 4
Number of starfruits at first
= 5 u
= 5 x 4
= 20
Fraction of the fruits that were starfruits at first
=
20108 =
527 Answer(s):
527 
