There were 122 passion fruits and guavas altogether. After
34 of the passion fruits and half of the guavas were thrown away, there were a total of 44 passion fruits and guavas left. What fraction of the fruits were passion fruits at first? Give your answer in its simplest form.
| |
Passion Fruits |
Guavas |
Total |
| Before |
4 u |
2 p |
122 |
| Change |
- 3 u |
- 1 p |
- 78 |
| After |
1 u |
1 p |
44 |
Number of passion fruits and guavas thrown away
= 122 - 44
= 78
3 u + 1 p = 78
1 p = 78 - 3 u --- (1)
1 u + 1 p = 44
1 p = 44 - 1 u --- (2)
(2) = (1)
44 - 1 u = 78 - 3 u
3 u - 1 u = 78 - 44
2 u = 34
1 u = 34 ÷ 2 = 17
Number of passion fruits at first
= 4 u
= 4 x 17
= 68
Fraction of the fruits that were passion fruits at first
=
68122 =
3461 Answer(s):
3461 
