There were 116 starfruits and lemons altogether. After
34 of the starfruits and half of the lemons were given away, there were a total of 39 starfruits and lemons left. What fraction of the fruits were starfruits at first? Give your answer in its simplest form.
| |
Starfruits |
Lemons |
Total |
| Before |
4 u |
2 p |
116 |
| Change |
- 3 u |
- 1 p |
- 77 |
| After |
1 u |
1 p |
39 |
Number of starfruits and lemons given away
= 116 - 39
= 77
3 u + 1 p = 77
1 p = 77 - 3 u --- (1)
1 u + 1 p = 39
1 p = 39 - 1 u --- (2)
(2) = (1)
39 - 1 u = 77 - 3 u
3 u - 1 u = 77 - 39
2 u = 38
1 u = 38 ÷ 2 = 19
Number of starfruits at first
= 4 u
= 4 x 19
= 76
Fraction of the fruits that were starfruits at first
=
76116 =
1929 Answer(s):
1929 
