There were 128 pomegranates and pears altogether. After
34 of the pomegranates and half of the pears were given away, 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 |
4 u |
2 p |
128 |
| Change |
- 3 u |
- 1 p |
- 81 |
| After |
1 u |
1 p |
47 |
Number of pomegranates and pears given away
= 128 - 47
= 81
3 u + 1 p = 81
1 p = 81 - 3 u --- (1)
1 u + 1 p = 47
1 p = 47 - 1 u --- (2)
(2) = (1)
47 - 1 u = 81 - 3 u
3 u - 1 u = 81 - 47
2 u = 34
1 u = 34 ÷ 2 = 17
Number of pomegranates at first
= 4 u
= 4 x 17
= 68
Number of pears at first
= 128 - 68
= 60
Fraction of the fruits that were pears at first
=
60128 =
1532 Answer(s):
1532 
