There were 98 lemons and pomegranates altogether. After
56 of the lemons and half of the pomegranates were given away, there were a total of 27 lemons and pomegranates left. What fraction of the fruits were lemons at first? Give your answer in its simplest form.
|
Lemons |
Pomegranates |
Total |
Before |
6 u |
2 p |
98 |
Change |
- 5 u |
- 1 p |
- 71 |
After |
1 u |
1 p |
27 |
Number of lemons and pomegranates given away
= 98 - 27
= 71
5 u + 1 p = 71
1 p = 71 - 5 u --- (1)
1 u + 1 p = 27
1 p = 27 - 1 u --- (2)
(2) = (1)
27 - 1 u = 71 - 5 u
5 u - 1 u = 71 - 27
4 u = 44
1 u = 44 ÷ 4 = 11
Number of lemons at first
= 6 u
= 6 x 11
= 66
Fraction of the fruits that were lemons at first
=
6698 =
3349 Answer(s):
3349