There were 94 starfruits and chikoos altogether. After
56 of the starfruits and half of the chikoos were given away, there were a total of 35 starfruits and chikoos left. What fraction of the fruits were starfruits at first? Give your answer in its simplest form.
|
Starfruits |
Chikoos |
Total |
Before |
6 u |
2 p |
94 |
Change |
- 5 u |
- 1 p |
- 59 |
After |
1 u |
1 p |
35 |
Number of starfruits and chikoos given away
= 94 - 35
= 59
5 u + 1 p = 59
1 p = 59 - 5 u --- (1)
1 u + 1 p = 35
1 p = 35 - 1 u --- (2)
(2) = (1)
35 - 1 u = 59 - 5 u
5 u - 1 u = 59 - 35
4 u = 24
1 u = 24 ÷ 4 = 6
Number of starfruits at first
= 6 u
= 6 x 6
= 36
Fraction of the fruits that were starfruits at first
=
3694 =
1847 Answer(s):
1847