There were 94 persimmons and pears altogether. After
34 of the persimmons and half of the pears were thrown away, there were a total of 27 persimmons and pears left. What fraction of the fruits were pears at first? Give your answer in its simplest form.
| |
Persimmons |
Pears |
Total |
| Before |
4 u |
2 p |
94 |
| Change |
- 3 u |
- 1 p |
- 67 |
| After |
1 u |
1 p |
27 |
Number of persimmons and pears thrown away
= 94 - 27
= 67
3 u + 1 p = 67
1 p = 67 - 3 u --- (1)
1 u + 1 p = 27
1 p = 27 - 1 u --- (2)
(2) = (1)
27 - 1 u = 67 - 3 u
3 u - 1 u = 67 - 27
2 u = 40
1 u = 40 ÷ 2 = 20
Number of persimmons at first
= 4 u
= 4 x 20
= 80
Number of pears at first
= 94 - 80
= 14
Fraction of the fruits that were pears at first
=
1494 =
747 Answer(s):
747 
