There were 122 kiwis and passion fruits altogether. After
67 of the kiwis and half of the passion fruits were sold, there were a total of 21 kiwis and passion fruits left. What fraction of the fruits were passion fruits at first? Give your answer in its simplest form.
| |
Kiwis |
Passion Fruits |
Total |
| Before |
7 u |
2 p |
122 |
| Change |
- 6 u |
- 1 p |
- 101 |
| After |
1 u |
1 p |
21 |
Number of kiwis and passion fruits sold
= 122 - 21
= 101
6 u + 1 p = 101
1 p = 101 - 6 u --- (1)
1 u + 1 p = 21
1 p = 21 - 1 u --- (2)
(2) = (1)
21 - 1 u = 101 - 6 u
6 u - 1 u = 101 - 21
5 u = 80
1 u = 80 ÷ 5 = 16
Number of kiwis at first
= 7 u
= 7 x 16
= 112
Number of passion fruits at first
= 122 - 112
= 10
Fraction of the fruits that were passion fruits at first
=
10122 =
561 Answer(s):
561 
