There were 128 dragonfruits and guavas altogether. After
34 of the dragonfruits and half of the guavas were given away, there were a total of 49 dragonfruits and guavas left. What fraction of the fruits were dragonfruits at first? Give your answer in its simplest form.
| |
Dragonfruits |
Guavas |
Total |
| Before |
4 u |
2 p |
128 |
| Change |
- 3 u |
- 1 p |
- 79 |
| After |
1 u |
1 p |
49 |
Number of dragonfruits and guavas given away
= 128 - 49
= 79
3 u + 1 p = 79
1 p = 79 - 3 u --- (1)
1 u + 1 p = 49
1 p = 49 - 1 u --- (2)
(2) = (1)
49 - 1 u = 79 - 3 u
3 u - 1 u = 79 - 49
2 u = 30
1 u = 30 ÷ 2 = 15
Number of dragonfruits at first
= 4 u
= 4 x 15
= 60
Fraction of the fruits that were dragonfruits at first
=
60128 =
1532 Answer(s):
1532 
