There were 108 pomegranates and persimmons altogether. After
78 of the pomegranates and half of the persimmons were thrown away, there were a total of 45 pomegranates and persimmons left. What fraction of the fruits were persimmons at first? Give your answer in its simplest form.
| |
Pomegranates |
Persimmons |
Total |
| Before |
8 u |
2 p |
108 |
| Change |
- 7 u |
- 1 p |
- 63 |
| After |
1 u |
1 p |
45 |
Number of pomegranates and persimmons thrown away
= 108 - 45
= 63
7 u + 1 p = 63
1 p = 63 - 7 u --- (1)
1 u + 1 p = 45
1 p = 45 - 1 u --- (2)
(2) = (1)
45 - 1 u = 63 - 7 u
7 u - 1 u = 63 - 45
6 u = 18
1 u = 18 ÷ 6 = 3
Number of pomegranates at first
= 8 u
= 8 x 3
= 24
Number of persimmons at first
= 108 - 24
= 84
Fraction of the fruits that were persimmons at first
=
84108 =
79 Answer(s):
79 
