There were 140 peaches and starfruits altogether. After
34 of the peaches and half of the starfruits were given away, there were a total of 45 peaches and starfruits left. What fraction of the fruits were peaches at first? Give your answer in its simplest form.
| |
Peaches |
Starfruits |
Total |
| Before |
4 u |
2 p |
140 |
| Change |
- 3 u |
- 1 p |
- 95 |
| After |
1 u |
1 p |
45 |
Number of peaches and starfruits given away
= 140 - 45
= 95
3 u + 1 p = 95
1 p = 95 - 3 u --- (1)
1 u + 1 p = 45
1 p = 45 - 1 u --- (2)
(2) = (1)
45 - 1 u = 95 - 3 u
3 u - 1 u = 95 - 45
2 u = 50
1 u = 50 ÷ 2 = 25
Number of peaches at first
= 4 u
= 4 x 25
= 100
Fraction of the fruits that were peaches at first
=
100140 =
57 Answer(s):
57 
