There were 98 persimmons and lemons altogether. After
45 of the persimmons and half of the lemons were given away, there were a total of 25 persimmons and lemons left. What fraction of the fruits were lemons at first? Give your answer in its simplest form.
| |
Persimmons |
Lemons |
Total |
| Before |
5 u |
2 p |
98 |
| Change |
- 4 u |
- 1 p |
- 73 |
| After |
1 u |
1 p |
25 |
Number of persimmons and lemons given away
= 98 - 25
= 73
4 u + 1 p = 73
1 p = 73 - 4 u --- (1)
1 u + 1 p = 25
1 p = 25 - 1 u --- (2)
(2) = (1)
25 - 1 u = 73 - 4 u
4 u - 1 u = 73 - 25
3 u = 48
1 u = 48 ÷ 3 = 16
Number of persimmons at first
= 5 u
= 5 x 16
= 80
Number of lemons at first
= 98 - 80
= 18
Fraction of the fruits that were lemons at first
=
1898 =
949 Answer(s):
949 
