There were 118 pomegranates and pears altogether. After
45 of the pomegranates and half of the pears were sold, there were a total of 47 pomegranates and pears left. What fraction of the fruits were pears at first? Give your answer in its simplest form.
| |
Pomegranates |
Pears |
Total |
| Before |
5 u |
2 p |
118 |
| Change |
- 4 u |
- 1 p |
- 71 |
| After |
1 u |
1 p |
47 |
Number of pomegranates and pears sold
= 118 - 47
= 71
4 u + 1 p = 71
1 p = 71 - 4 u --- (1)
1 u + 1 p = 47
1 p = 47 - 1 u --- (2)
(2) = (1)
47 - 1 u = 71 - 4 u
4 u - 1 u = 71 - 47
3 u = 24
1 u = 24 ÷ 3 = 8
Number of pomegranates at first
= 5 u
= 5 x 8
= 40
Number of pears at first
= 118 - 40
= 78
Fraction of the fruits that were pears at first
=
78118 =
3959 Answer(s):
3959 
