There were 102 lemons and passion fruits altogether. After
56 of the lemons and half of the passion fruits were thrown away, there were a total of 39 lemons and passion fruits left. What fraction of the fruits were passion fruits at first? Give your answer in its simplest form.
|
Lemons |
Passion Fruits |
Total |
Before |
6 u |
2 p |
102 |
Change |
- 5 u |
- 1 p |
- 63 |
After |
1 u |
1 p |
39 |
Number of lemons and passion fruits thrown away
= 102 - 39
= 63
5 u + 1 p = 63
1 p = 63 - 5 u --- (1)
1 u + 1 p = 39
1 p = 39 - 1 u --- (2)
(2) = (1)
39 - 1 u = 63 - 5 u
5 u - 1 u = 63 - 39
4 u = 24
1 u = 24 ÷ 4 = 6
Number of lemons at first
= 6 u
= 6 x 6
= 36
Number of passion fruits at first
= 102 - 36
= 66
Fraction of the fruits that were passion fruits at first
=
66102 =
1117 Answer(s):
1117