There were 136 pomegranates and mangosteens altogether. After
34 of the pomegranates and half of the mangosteens were sold, there were a total of 47 pomegranates and mangosteens left. What fraction of the fruits were pomegranates at first? Give your answer in its simplest form.
| |
Pomegranates |
Mangosteens |
Total |
| Before |
4 u |
2 p |
136 |
| Change |
- 3 u |
- 1 p |
- 89 |
| After |
1 u |
1 p |
47 |
Number of pomegranates and mangosteens sold
= 136 - 47
= 89
3 u + 1 p = 89
1 p = 89 - 3 u --- (1)
1 u + 1 p = 47
1 p = 47 - 1 u --- (2)
(2) = (1)
47 - 1 u = 89 - 3 u
3 u - 1 u = 89 - 47
2 u = 42
1 u = 42 ÷ 2 = 21
Number of pomegranates at first
= 4 u
= 4 x 21
= 84
Fraction of the fruits that were pomegranates at first
=
84136 =
2134 Answer(s):
2134 
