There were 130 kiwis and passion fruits altogether. After
45 of the kiwis and half of the passion fruits were thrown away, there were a total of 32 kiwis and passion fruits left. What fraction of the fruits were kiwis at first? Give your answer in its simplest form.
|
Kiwis |
Passion Fruits |
Total |
Before |
5 u |
2 p |
130 |
Change |
- 4 u |
- 1 p |
- 98 |
After |
1 u |
1 p |
32 |
Number of kiwis and passion fruits thrown away
= 130 - 32
= 98
4 u + 1 p = 98
1 p = 98 - 4 u --- (1)
1 u + 1 p = 32
1 p = 32 - 1 u --- (2)
(2) = (1)
32 - 1 u = 98 - 4 u
4 u - 1 u = 98 - 32
3 u = 66
1 u = 66 ÷ 3 = 22
Number of kiwis at first
= 5 u
= 5 x 22
= 110
Fraction of the fruits that were kiwis at first
=
110130 =
1113 Answer(s):
1113