There were 125 peaches and persimmons altogether. After
45 of the peaches and half of the persimmons were given away, there were a total of 40 peaches and persimmons left. What fraction of the fruits were peaches at first? Give your answer in its simplest form.
| |
Peaches |
Persimmons |
Total |
| Before |
5 u |
2 p |
125 |
| Change |
- 4 u |
- 1 p |
- 85 |
| After |
1 u |
1 p |
40 |
Number of peaches and persimmons given away
= 125 - 40
= 85
4 u + 1 p = 85
1 p = 85 - 4 u --- (1)
1 u + 1 p = 40
1 p = 40 - 1 u --- (2)
(2) = (1)
40 - 1 u = 85 - 4 u
4 u - 1 u = 85 - 40
3 u = 45
1 u = 45 ÷ 3 = 15
Number of peaches at first
= 5 u
= 5 x 15
= 75
Fraction of the fruits that were peaches at first
=
75125 =
35 Answer(s):
35 
