There were 104 grapefruits and dragonfruits altogether. After
67 of the grapefruits and half of the dragonfruits were sold, there were a total of 32 grapefruits and dragonfruits left. What fraction of the fruits were grapefruits at first? Give your answer in its simplest form.
| |
Grapefruits |
Dragonfruits |
Total |
| Before |
7 u |
2 p |
104 |
| Change |
- 6 u |
- 1 p |
- 72 |
| After |
1 u |
1 p |
32 |
Number of grapefruits and dragonfruits sold
= 104 - 32
= 72
6 u + 1 p = 72
1 p = 72 - 6 u --- (1)
1 u + 1 p = 32
1 p = 32 - 1 u --- (2)
(2) = (1)
32 - 1 u = 72 - 6 u
6 u - 1 u = 72 - 32
5 u = 40
1 u = 40 ÷ 5 = 8
Number of grapefruits at first
= 7 u
= 7 x 8
= 56
Fraction of the fruits that were grapefruits at first
=
56104 =
713 Answer(s):
713 
