There were 94 passion fruits and guavas altogether. After
78 of the passion fruits and half of the guavas were thrown away, there were a total of 23 passion fruits and guavas left. What fraction of the fruits were guavas at first? Give your answer in its simplest form.
| |
Passion Fruits |
Guavas |
Total |
| Before |
8 u |
2 p |
94 |
| Change |
- 7 u |
- 1 p |
- 71 |
| After |
1 u |
1 p |
23 |
Number of passion fruits and guavas thrown away
= 94 - 23
= 71
7 u + 1 p = 71
1 p = 71 - 7 u --- (1)
1 u + 1 p = 23
1 p = 23 - 1 u --- (2)
(2) = (1)
23 - 1 u = 71 - 7 u
7 u - 1 u = 71 - 23
6 u = 48
1 u = 48 ÷ 6 = 8
Number of passion fruits at first
= 8 u
= 8 x 8
= 64
Number of guavas at first
= 94 - 64
= 30
Fraction of the fruits that were guavas at first
=
3094 =
1547 Answer(s):
1547 
