There were 106 grapefruits and dragonfruits altogether. After
34 of the grapefruits and half of the dragonfruits were sold, there were a total of 47 grapefruits and dragonfruits left. What fraction of the fruits were grapefruits at first? Give your answer in its simplest form.
| |
Grapefruits |
Dragonfruits |
Total |
| Before |
4 u |
2 p |
106 |
| Change |
- 3 u |
- 1 p |
- 59 |
| After |
1 u |
1 p |
47 |
Number of grapefruits and dragonfruits sold
= 106 - 47
= 59
3 u + 1 p = 59
1 p = 59 - 3 u --- (1)
1 u + 1 p = 47
1 p = 47 - 1 u --- (2)
(2) = (1)
47 - 1 u = 59 - 3 u
3 u - 1 u = 59 - 47
2 u = 12
1 u = 12 ÷ 2 = 6
Number of grapefruits at first
= 4 u
= 4 x 6
= 24
Fraction of the fruits that were grapefruits at first
=
24106 =
1253 Answer(s):
1253 
