There were 114 starfruits and pomegranates altogether. After
56 of the starfruits and half of the pomegranates were given away, there were a total of 35 starfruits and pomegranates left. What fraction of the fruits were starfruits at first? Give your answer in its simplest form.
| |
Starfruits |
Pomegranates |
Total |
| Before |
6 u |
2 p |
114 |
| Change |
- 5 u |
- 1 p |
- 79 |
| After |
1 u |
1 p |
35 |
Number of starfruits and pomegranates given away
= 114 - 35
= 79
5 u + 1 p = 79
1 p = 79 - 5 u --- (1)
1 u + 1 p = 35
1 p = 35 - 1 u --- (2)
(2) = (1)
35 - 1 u = 79 - 5 u
5 u - 1 u = 79 - 35
4 u = 44
1 u = 44 ÷ 4 = 11
Number of starfruits at first
= 6 u
= 6 x 11
= 66
Fraction of the fruits that were starfruits at first
=
66114 =
1119 Answer(s):
1119 
