There were 138 dragonfruits and mangoes altogether. After
45 of the dragonfruits and half of the mangoes were sold, there were a total of 33 dragonfruits and mangoes left. What fraction of the fruits were dragonfruits at first? Give your answer in its simplest form.
| |
Dragonfruits |
Mangoes |
Total |
| Before |
5 u |
2 p |
138 |
| Change |
- 4 u |
- 1 p |
- 105 |
| After |
1 u |
1 p |
33 |
Number of dragonfruits and mangoes sold
= 138 - 33
= 105
4 u + 1 p = 105
1 p = 105 - 4 u --- (1)
1 u + 1 p = 33
1 p = 33 - 1 u --- (2)
(2) = (1)
33 - 1 u = 105 - 4 u
4 u - 1 u = 105 - 33
3 u = 72
1 u = 72 ÷ 3 = 24
Number of dragonfruits at first
= 5 u
= 5 x 24
= 120
Fraction of the fruits that were dragonfruits at first
=
120138 =
2023 Answer(s):
2023 
