There were 102 pears and pomegranates altogether. After
34 of the pears and half of the pomegranates were thrown away, there were a total of 30 pears and pomegranates left. What fraction of the fruits were pomegranates at first? Give your answer in its simplest form.
| |
Pears |
Pomegranates |
Total |
| Before |
4 u |
2 p |
102 |
| Change |
- 3 u |
- 1 p |
- 72 |
| After |
1 u |
1 p |
30 |
Number of pears and pomegranates thrown away
= 102 - 30
= 72
3 u + 1 p = 72
1 p = 72 - 3 u --- (1)
1 u + 1 p = 30
1 p = 30 - 1 u --- (2)
(2) = (1)
30 - 1 u = 72 - 3 u
3 u - 1 u = 72 - 30
2 u = 42
1 u = 42 ÷ 2 = 21
Number of pears at first
= 4 u
= 4 x 21
= 84
Number of pomegranates at first
= 102 - 84
= 18
Fraction of the fruits that were pomegranates at first
=
18102 =
317 Answer(s):
317 
