There were 93 grapefruits and guavas altogether. After
45 of the grapefruits and half of the guavas were thrown away, there were a total of 24 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 |
93 |
| Change |
- 4 u |
- 1 p |
- 69 |
| After |
1 u |
1 p |
24 |
Number of grapefruits and guavas thrown away
= 93 - 24
= 69
4 u + 1 p = 69
1 p = 69 - 4 u --- (1)
1 u + 1 p = 24
1 p = 24 - 1 u --- (2)
(2) = (1)
24 - 1 u = 69 - 4 u
4 u - 1 u = 69 - 24
3 u = 45
1 u = 45 ÷ 3 = 15
Number of grapefruits at first
= 5 u
= 5 x 15
= 75
Number of guavas at first
= 93 - 75
= 18
Fraction of the fruits that were guavas at first
=
1893 =
631 Answer(s):
631 
