There were 126 dragonfruits and pomegranates altogether. After
56 of the dragonfruits and half of the pomegranates were sold, there were a total of 29 dragonfruits and pomegranates left. What fraction of the fruits were dragonfruits at first? Give your answer in its simplest form.
|
Dragonfruits |
Pomegranates |
Total |
Before |
6 u |
2 p |
126 |
Change |
- 5 u |
- 1 p |
- 97 |
After |
1 u |
1 p |
29 |
Number of dragonfruits and pomegranates sold
= 126 - 29
= 97
5 u + 1 p = 97
1 p = 97 - 5 u --- (1)
1 u + 1 p = 29
1 p = 29 - 1 u --- (2)
(2) = (1)
29 - 1 u = 97 - 5 u
5 u - 1 u = 97 - 29
4 u = 68
1 u = 68 ÷ 4 = 17
Number of dragonfruits at first
= 6 u
= 6 x 17
= 102
Fraction of the fruits that were dragonfruits at first
=
102126 =
1721 Answer(s):
1721