There were 100 passion fruits and kiwis altogether. After
78 of the passion fruits and half of the kiwis were thrown away, there were a total of 32 passion fruits and kiwis left. What fraction of the fruits were passion fruits at first? Give your answer in its simplest form.
|
Passion Fruits |
Kiwis |
Total |
Before |
8 u |
2 p |
100 |
Change |
- 7 u |
- 1 p |
- 68 |
After |
1 u |
1 p |
32 |
Number of passion fruits and kiwis thrown away
= 100 - 32
= 68
7 u + 1 p = 68
1 p = 68 - 7 u --- (1)
1 u + 1 p = 32
1 p = 32 - 1 u --- (2)
(2) = (1)
32 - 1 u = 68 - 7 u
7 u - 1 u = 68 - 32
6 u = 36
1 u = 36 ÷ 6 = 6
Number of passion fruits at first
= 8 u
= 8 x 6
= 48
Fraction of the fruits that were passion fruits at first
=
48100 =
1225 Answer(s):
1225