There were 114 mangosteens and persimmons altogether. After
56 of the mangosteens and half of the persimmons were given away, there were a total of 29 mangosteens and persimmons left. What fraction of the fruits were mangosteens at first? Give your answer in its simplest form.
| |
Mangosteens |
Persimmons |
Total |
| Before |
6 u |
2 p |
114 |
| Change |
- 5 u |
- 1 p |
- 85 |
| After |
1 u |
1 p |
29 |
Number of mangosteens and persimmons given away
= 114 - 29
= 85
5 u + 1 p = 85
1 p = 85 - 5 u --- (1)
1 u + 1 p = 29
1 p = 29 - 1 u --- (2)
(2) = (1)
29 - 1 u = 85 - 5 u
5 u - 1 u = 85 - 29
4 u = 56
1 u = 56 ÷ 4 = 14
Number of mangosteens at first
= 6 u
= 6 x 14
= 84
Fraction of the fruits that were mangosteens at first
=
84114 =
1419 Answer(s):
1419 
