There were 90 lemons and passion fruits altogether. After
56 of the lemons and half of the passion fruits were thrown away, there were a total of 21 lemons and passion fruits left. What fraction of the fruits were lemons at first? Give your answer in its simplest form.
| |
Lemons |
Passion Fruits |
Total |
| Before |
6 u |
2 p |
90 |
| Change |
- 5 u |
- 1 p |
- 69 |
| After |
1 u |
1 p |
21 |
Number of lemons and passion fruits thrown away
= 90 - 21
= 69
5 u + 1 p = 69
1 p = 69 - 5 u --- (1)
1 u + 1 p = 21
1 p = 21 - 1 u --- (2)
(2) = (1)
21 - 1 u = 69 - 5 u
5 u - 1 u = 69 - 21
4 u = 48
1 u = 48 ÷ 4 = 12
Number of lemons at first
= 6 u
= 6 x 12
= 72
Fraction of the fruits that were lemons at first
=
7290 =
45 Answer(s):
45 
