There were 120 pears and passion fruits altogether. After
34 of the pears and half of the passion fruits were sold, there were a total of 31 pears and passion fruits left. What fraction of the fruits were passion fruits at first? Give your answer in its simplest form.
| |
Pears |
Passion Fruits |
Total |
| Before |
4 u |
2 p |
120 |
| Change |
- 3 u |
- 1 p |
- 89 |
| After |
1 u |
1 p |
31 |
Number of pears and passion fruits sold
= 120 - 31
= 89
3 u + 1 p = 89
1 p = 89 - 3 u --- (1)
1 u + 1 p = 31
1 p = 31 - 1 u --- (2)
(2) = (1)
31 - 1 u = 89 - 3 u
3 u - 1 u = 89 - 31
2 u = 58
1 u = 58 ÷ 2 = 29
Number of pears at first
= 4 u
= 4 x 29
= 116
Number of passion fruits at first
= 120 - 116
= 4
Fraction of the fruits that were passion fruits at first
=
4120 =
130 Answer(s):
130 
