There were 133 starfruits and grapefruits altogether. After
67 of the starfruits and half of the grapefruits were thrown away, there were a total of 44 starfruits and grapefruits left. What fraction of the fruits were starfruits at first? Give your answer in its simplest form.
| |
Starfruits |
Grapefruits |
Total |
| Before |
7 u |
2 p |
133 |
| Change |
- 6 u |
- 1 p |
- 89 |
| After |
1 u |
1 p |
44 |
Number of starfruits and grapefruits thrown away
= 133 - 44
= 89
6 u + 1 p = 89
1 p = 89 - 6 u --- (1)
1 u + 1 p = 44
1 p = 44 - 1 u --- (2)
(2) = (1)
44 - 1 u = 89 - 6 u
6 u - 1 u = 89 - 44
5 u = 45
1 u = 45 ÷ 5 = 9
Number of starfruits at first
= 7 u
= 7 x 9
= 63
Fraction of the fruits that were starfruits at first
=
63133 =
919 Answer(s):
919 
