There were 138 dragonfruits and guavas altogether. After
45 of the dragonfruits and half of the guavas were sold, there were a total of 39 dragonfruits and guavas left. What fraction of the fruits were guavas at first? Give your answer in its simplest form.
| |
Dragonfruits |
Guavas |
Total |
| Before |
5 u |
2 p |
138 |
| Change |
- 4 u |
- 1 p |
- 99 |
| After |
1 u |
1 p |
39 |
Number of dragonfruits and guavas sold
= 138 - 39
= 99
4 u + 1 p = 99
1 p = 99 - 4 u --- (1)
1 u + 1 p = 39
1 p = 39 - 1 u --- (2)
(2) = (1)
39 - 1 u = 99 - 4 u
4 u - 1 u = 99 - 39
3 u = 60
1 u = 60 ÷ 3 = 20
Number of dragonfruits at first
= 5 u
= 5 x 20
= 100
Number of guavas at first
= 138 - 100
= 38
Fraction of the fruits that were guavas at first
=
38138 =
1969 Answer(s):
1969 
