There were 138 lemons and starfruits altogether. After
34 of the lemons and half of the starfruits were thrown away, there were a total of 48 lemons and starfruits left. What fraction of the fruits were starfruits at first? Give your answer in its simplest form.
| |
Lemons |
Starfruits |
Total |
| Before |
4 u |
2 p |
138 |
| Change |
- 3 u |
- 1 p |
- 90 |
| After |
1 u |
1 p |
48 |
Number of lemons and starfruits thrown away
= 138 - 48
= 90
3 u + 1 p = 90
1 p = 90 - 3 u --- (1)
1 u + 1 p = 48
1 p = 48 - 1 u --- (2)
(2) = (1)
48 - 1 u = 90 - 3 u
3 u - 1 u = 90 - 48
2 u = 42
1 u = 42 ÷ 2 = 21
Number of lemons at first
= 4 u
= 4 x 21
= 84
Number of starfruits at first
= 138 - 84
= 54
Fraction of the fruits that were starfruits at first
=
54138 =
923 Answer(s):
923 
