There were 108 guavas and passion fruits altogether. After
78 of the guavas and half of the passion fruits were thrown away, there were a total of 36 guavas and passion fruits left. What fraction of the fruits were passion fruits at first? Give your answer in its simplest form.
| |
Guavas |
Passion Fruits |
Total |
| Before |
8 u |
2 p |
108 |
| Change |
- 7 u |
- 1 p |
- 72 |
| After |
1 u |
1 p |
36 |
Number of guavas and passion fruits thrown away
= 108 - 36
= 72
7 u + 1 p = 72
1 p = 72 - 7 u --- (1)
1 u + 1 p = 36
1 p = 36 - 1 u --- (2)
(2) = (1)
36 - 1 u = 72 - 7 u
7 u - 1 u = 72 - 36
6 u = 36
1 u = 36 ÷ 6 = 6
Number of guavas at first
= 8 u
= 8 x 6
= 48
Number of passion fruits at first
= 108 - 48
= 60
Fraction of the fruits that were passion fruits at first
=
60108 =
59 Answer(s):
59 
