There were 110 lemons and dragonfruits altogether. After
78 of the lemons and half of the dragonfruits were thrown away, there were a total of 22 lemons and dragonfruits left. What fraction of the fruits were lemons at first? Give your answer in its simplest form.
| |
Lemons |
Dragonfruits |
Total |
| Before |
8 u |
2 p |
110 |
| Change |
- 7 u |
- 1 p |
- 88 |
| After |
1 u |
1 p |
22 |
Number of lemons and dragonfruits thrown away
= 110 - 22
= 88
7 u + 1 p = 88
1 p = 88 - 7 u --- (1)
1 u + 1 p = 22
1 p = 22 - 1 u --- (2)
(2) = (1)
22 - 1 u = 88 - 7 u
7 u - 1 u = 88 - 22
6 u = 66
1 u = 66 ÷ 6 = 11
Number of lemons at first
= 8 u
= 8 x 11
= 88
Fraction of the fruits that were lemons at first
=
88110 =
45 Answer(s):
45 
