There were 106 peaches and dragonfruits altogether. After
67 of the peaches and half of the dragonfruits were thrown away, there were a total of 28 peaches and dragonfruits left. What fraction of the fruits were dragonfruits at first? Give your answer in its simplest form.
| |
Peaches |
Dragonfruits |
Total |
| Before |
7 u |
2 p |
106 |
| Change |
- 6 u |
- 1 p |
- 78 |
| After |
1 u |
1 p |
28 |
Number of peaches and dragonfruits thrown away
= 106 - 28
= 78
6 u + 1 p = 78
1 p = 78 - 6 u --- (1)
1 u + 1 p = 28
1 p = 28 - 1 u --- (2)
(2) = (1)
28 - 1 u = 78 - 6 u
6 u - 1 u = 78 - 28
5 u = 50
1 u = 50 ÷ 5 = 10
Number of peaches at first
= 7 u
= 7 x 10
= 70
Number of dragonfruits at first
= 106 - 70
= 36
Fraction of the fruits that were dragonfruits at first
=
36106 =
1853 Answer(s):
1853 
