There were 114 persimmons and starfruits altogether. After
78 of the persimmons and half of the starfruits were thrown away, there were a total of 27 persimmons and starfruits left. What fraction of the fruits were starfruits at first? Give your answer in its simplest form.
| |
Persimmons |
Starfruits |
Total |
| Before |
8 u |
2 p |
114 |
| Change |
- 7 u |
- 1 p |
- 87 |
| After |
1 u |
1 p |
27 |
Number of persimmons and starfruits thrown away
= 114 - 27
= 87
7 u + 1 p = 87
1 p = 87 - 7 u --- (1)
1 u + 1 p = 27
1 p = 27 - 1 u --- (2)
(2) = (1)
27 - 1 u = 87 - 7 u
7 u - 1 u = 87 - 27
6 u = 60
1 u = 60 ÷ 6 = 10
Number of persimmons at first
= 8 u
= 8 x 10
= 80
Number of starfruits at first
= 114 - 80
= 34
Fraction of the fruits that were starfruits at first
=
34114 =
1757 Answer(s):
1757 
