There were 136 pomegranates and persimmons altogether. After
34 of the pomegranates and half of the persimmons were given away, there were a total of 38 pomegranates and persimmons left. What fraction of the fruits were pomegranates at first? Give your answer in its simplest form.
| |
Pomegranates |
Persimmons |
Total |
| Before |
4 u |
2 p |
136 |
| Change |
- 3 u |
- 1 p |
- 98 |
| After |
1 u |
1 p |
38 |
Number of pomegranates and persimmons given away
= 136 - 38
= 98
3 u + 1 p = 98
1 p = 98 - 3 u --- (1)
1 u + 1 p = 38
1 p = 38 - 1 u --- (2)
(2) = (1)
38 - 1 u = 98 - 3 u
3 u - 1 u = 98 - 38
2 u = 60
1 u = 60 ÷ 2 = 30
Number of pomegranates at first
= 4 u
= 4 x 30
= 120
Fraction of the fruits that were pomegranates at first
=
120136 =
1517 Answer(s):
1517 
