There were 130 grapefruits and guavas altogether. After
45 of the grapefruits and half of the guavas were sold, there were a total of 50 grapefruits and guavas left. What fraction of the fruits were guavas at first? Give your answer in its simplest form.
| |
Grapefruits |
Guavas |
Total |
| Before |
5 u |
2 p |
130 |
| Change |
- 4 u |
- 1 p |
- 80 |
| After |
1 u |
1 p |
50 |
Number of grapefruits and guavas sold
= 130 - 50
= 80
4 u + 1 p = 80
1 p = 80 - 4 u --- (1)
1 u + 1 p = 50
1 p = 50 - 1 u --- (2)
(2) = (1)
50 - 1 u = 80 - 4 u
4 u - 1 u = 80 - 50
3 u = 30
1 u = 30 ÷ 3 = 10
Number of grapefruits at first
= 5 u
= 5 x 10
= 50
Number of guavas at first
= 130 - 50
= 80
Fraction of the fruits that were guavas at first
=
80130 =
813 Answer(s):
813 
