There were 112 mangoes and starfruits altogether. After
34 of the mangoes and half of the starfruits were sold, there were a total of 39 mangoes and starfruits left. What fraction of the fruits were mangoes at first? Give your answer in its simplest form.
| |
Mangoes |
Starfruits |
Total |
| Before |
4 u |
2 p |
112 |
| Change |
- 3 u |
- 1 p |
- 73 |
| After |
1 u |
1 p |
39 |
Number of mangoes and starfruits sold
= 112 - 39
= 73
3 u + 1 p = 73
1 p = 73 - 3 u --- (1)
1 u + 1 p = 39
1 p = 39 - 1 u --- (2)
(2) = (1)
39 - 1 u = 73 - 3 u
3 u - 1 u = 73 - 39
2 u = 34
1 u = 34 ÷ 2 = 17
Number of mangoes at first
= 4 u
= 4 x 17
= 68
Fraction of the fruits that were mangoes at first
=
68112 =
1728 Answer(s):
1728 
