There were 108 dragonfruits and peaches altogether. After
45 of the dragonfruits and half of the peaches were given away, there were a total of 36 dragonfruits and peaches left. What fraction of the fruits were dragonfruits at first? Give your answer in its simplest form.
| |
Dragonfruits |
Peaches |
Total |
| Before |
5 u |
2 p |
108 |
| Change |
- 4 u |
- 1 p |
- 72 |
| After |
1 u |
1 p |
36 |
Number of dragonfruits and peaches given away
= 108 - 36
= 72
4 u + 1 p = 72
1 p = 72 - 4 u --- (1)
1 u + 1 p = 36
1 p = 36 - 1 u --- (2)
(2) = (1)
36 - 1 u = 72 - 4 u
4 u - 1 u = 72 - 36
3 u = 36
1 u = 36 ÷ 3 = 12
Number of dragonfruits at first
= 5 u
= 5 x 12
= 60
Fraction of the fruits that were dragonfruits at first
=
60108 =
59 Answer(s):
59 
