There were 104 grapefruits and passion fruits altogether. After
34 of the grapefruits and half of the passion fruits were thrown away, there were a total of 32 grapefruits and passion fruits left. What fraction of the fruits were grapefruits at first? Give your answer in its simplest form.
| |
Grapefruits |
Passion Fruits |
Total |
| Before |
4 u |
2 p |
104 |
| Change |
- 3 u |
- 1 p |
- 72 |
| After |
1 u |
1 p |
32 |
Number of grapefruits and passion fruits thrown away
= 104 - 32
= 72
3 u + 1 p = 72
1 p = 72 - 3 u --- (1)
1 u + 1 p = 32
1 p = 32 - 1 u --- (2)
(2) = (1)
32 - 1 u = 72 - 3 u
3 u - 1 u = 72 - 32
2 u = 40
1 u = 40 ÷ 2 = 20
Number of grapefruits at first
= 4 u
= 4 x 20
= 80
Fraction of the fruits that were grapefruits at first
=
80104 =
1013 Answer(s):
1013 
