There were 108 mangosteens and dragonfruits altogether. After
56 of the mangosteens and half of the dragonfruits were thrown away, there were a total of 20 mangosteens and dragonfruits left. What fraction of the fruits were dragonfruits at first? Give your answer in its simplest form.
| |
Mangosteens |
Dragonfruits |
Total |
| Before |
6 u |
2 p |
108 |
| Change |
- 5 u |
- 1 p |
- 88 |
| After |
1 u |
1 p |
20 |
Number of mangosteens and dragonfruits thrown away
= 108 - 20
= 88
5 u + 1 p = 88
1 p = 88 - 5 u --- (1)
1 u + 1 p = 20
1 p = 20 - 1 u --- (2)
(2) = (1)
20 - 1 u = 88 - 5 u
5 u - 1 u = 88 - 20
4 u = 68
1 u = 68 ÷ 4 = 17
Number of mangosteens at first
= 6 u
= 6 x 17
= 102
Number of dragonfruits at first
= 108 - 102
= 6
Fraction of the fruits that were dragonfruits at first
=
6108 =
118 Answer(s):
118 
