There were 123 persimmons and mangosteens altogether. After
45 of the persimmons and half of the mangosteens were given away, there were a total of 39 persimmons and mangosteens left. What fraction of the fruits were mangosteens at first? Give your answer in its simplest form.
| |
Persimmons |
Mangosteens |
Total |
| Before |
5 u |
2 p |
123 |
| Change |
- 4 u |
- 1 p |
- 84 |
| After |
1 u |
1 p |
39 |
Number of persimmons and mangosteens given away
= 123 - 39
= 84
4 u + 1 p = 84
1 p = 84 - 4 u --- (1)
1 u + 1 p = 39
1 p = 39 - 1 u --- (2)
(2) = (1)
39 - 1 u = 84 - 4 u
4 u - 1 u = 84 - 39
3 u = 45
1 u = 45 ÷ 3 = 15
Number of persimmons at first
= 5 u
= 5 x 15
= 75
Number of mangosteens at first
= 123 - 75
= 48
Fraction of the fruits that were mangosteens at first
=
48123 =
1641 Answer(s):
1641 
