There were 108 peaches and persimmons altogether. After
34 of the peaches and half of the persimmons were given away, there were a total of 49 peaches and persimmons left. What fraction of the fruits were peaches at first? Give your answer in its simplest form.
|
Peaches |
Persimmons |
Total |
Before |
4 u |
2 p |
108 |
Change |
- 3 u |
- 1 p |
- 59 |
After |
1 u |
1 p |
49 |
Number of peaches and persimmons given away
= 108 - 49
= 59
3 u + 1 p = 59
1 p = 59 - 3 u --- (1)
1 u + 1 p = 49
1 p = 49 - 1 u --- (2)
(2) = (1)
49 - 1 u = 59 - 3 u
3 u - 1 u = 59 - 49
2 u = 10
1 u = 10 ÷ 2 = 5
Number of peaches at first
= 4 u
= 4 x 5
= 20
Fraction of the fruits that were peaches at first
=
20108 =
527 Answer(s):
527