There were 120 passion fruits and pears altogether. After
34 of the passion fruits and half of the pears were given away, there were a total of 33 passion fruits and pears left. What fraction of the fruits were passion fruits at first? Give your answer in its simplest form.
| |
Passion Fruits |
Pears |
Total |
| Before |
4 u |
2 p |
120 |
| Change |
- 3 u |
- 1 p |
- 87 |
| After |
1 u |
1 p |
33 |
Number of passion fruits and pears given away
= 120 - 33
= 87
3 u + 1 p = 87
1 p = 87 - 3 u --- (1)
1 u + 1 p = 33
1 p = 33 - 1 u --- (2)
(2) = (1)
33 - 1 u = 87 - 3 u
3 u - 1 u = 87 - 33
2 u = 54
1 u = 54 ÷ 2 = 27
Number of passion fruits at first
= 4 u
= 4 x 27
= 108
Fraction of the fruits that were passion fruits at first
=
108120 =
910 Answer(s):
910 
