There were 94 guavas and grapefruits altogether. After
56 of the guavas and half of the grapefruits were given away, there were a total of 27 guavas and grapefruits left. What fraction of the fruits were guavas at first? Give your answer in its simplest form.
| |
Guavas |
Grapefruits |
Total |
| Before |
6 u |
2 p |
94 |
| Change |
- 5 u |
- 1 p |
- 67 |
| After |
1 u |
1 p |
27 |
Number of guavas and grapefruits given away
= 94 - 27
= 67
5 u + 1 p = 67
1 p = 67 - 5 u --- (1)
1 u + 1 p = 27
1 p = 27 - 1 u --- (2)
(2) = (1)
27 - 1 u = 67 - 5 u
5 u - 1 u = 67 - 27
4 u = 40
1 u = 40 ÷ 4 = 10
Number of guavas at first
= 6 u
= 6 x 10
= 60
Fraction of the fruits that were guavas at first
=
6094 =
3047 Answer(s):
3047 
