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