There were 135 dragonfruits and mangoes altogether. After
45 of the dragonfruits and half of the mangoes were thrown away, there were a total of 45 dragonfruits and mangoes left. What fraction of the fruits were mangoes at first? Give your answer in its simplest form.
| |
Dragonfruits |
Mangoes |
Total |
| Before |
5 u |
2 p |
135 |
| Change |
- 4 u |
- 1 p |
- 90 |
| After |
1 u |
1 p |
45 |
Number of dragonfruits and mangoes thrown away
= 135 - 45
= 90
4 u + 1 p = 90
1 p = 90 - 4 u --- (1)
1 u + 1 p = 45
1 p = 45 - 1 u --- (2)
(2) = (1)
45 - 1 u = 90 - 4 u
4 u - 1 u = 90 - 45
3 u = 45
1 u = 45 ÷ 3 = 15
Number of dragonfruits at first
= 5 u
= 5 x 15
= 75
Number of mangoes at first
= 135 - 75
= 60
Fraction of the fruits that were mangoes at first
=
60135 =
49 Answer(s):
49 
