There were 118 mangoes and starfruits altogether. After
56 of the mangoes and half of the starfruits were given away, there were a total of 25 mangoes and starfruits left. What fraction of the fruits were mangoes at first? Give your answer in its simplest form.
|
Mangoes |
Starfruits |
Total |
Before |
6 u |
2 p |
118 |
Change |
- 5 u |
- 1 p |
- 93 |
After |
1 u |
1 p |
25 |
Number of mangoes and starfruits given away
= 118 - 25
= 93
5 u + 1 p = 93
1 p = 93 - 5 u --- (1)
1 u + 1 p = 25
1 p = 25 - 1 u --- (2)
(2) = (1)
25 - 1 u = 93 - 5 u
5 u - 1 u = 93 - 25
4 u = 68
1 u = 68 ÷ 4 = 17
Number of mangoes at first
= 6 u
= 6 x 17
= 102
Fraction of the fruits that were mangoes at first
=
102118 =
5159 Answer(s):
5159