There were 108 dragonfruits and pears altogether. After
34 of the dragonfruits and half of the pears were thrown away, there were a total of 47 dragonfruits and pears left. What fraction of the fruits were pears at first? Give your answer in its simplest form.
| |
Dragonfruits |
Pears |
Total |
| Before |
4 u |
2 p |
108 |
| Change |
- 3 u |
- 1 p |
- 61 |
| After |
1 u |
1 p |
47 |
Number of dragonfruits and pears thrown away
= 108 - 47
= 61
3 u + 1 p = 61
1 p = 61 - 3 u --- (1)
1 u + 1 p = 47
1 p = 47 - 1 u --- (2)
(2) = (1)
47 - 1 u = 61 - 3 u
3 u - 1 u = 61 - 47
2 u = 14
1 u = 14 ÷ 2 = 7
Number of dragonfruits at first
= 4 u
= 4 x 7
= 28
Number of pears at first
= 108 - 28
= 80
Fraction of the fruits that were pears at first
=
80108 =
2027 Answer(s):
2027 
