There were 128 peaches and dragonfruits altogether. After
45 of the peaches and half of the dragonfruits were given away, there were a total of 43 peaches and dragonfruits left. What fraction of the fruits were peaches at first? Give your answer in its simplest form.
| |
Peaches |
Dragonfruits |
Total |
| Before |
5 u |
2 p |
128 |
| Change |
- 4 u |
- 1 p |
- 85 |
| After |
1 u |
1 p |
43 |
Number of peaches and dragonfruits given away
= 128 - 43
= 85
4 u + 1 p = 85
1 p = 85 - 4 u --- (1)
1 u + 1 p = 43
1 p = 43 - 1 u --- (2)
(2) = (1)
43 - 1 u = 85 - 4 u
4 u - 1 u = 85 - 43
3 u = 42
1 u = 42 ÷ 3 = 14
Number of peaches at first
= 5 u
= 5 x 14
= 70
Fraction of the fruits that were peaches at first
=
70128 =
3564 Answer(s):
3564 
