There were 114 guavas and dragonfruits altogether. After
56 of the guavas and half of the dragonfruits were thrown away, there were a total of 41 guavas and dragonfruits left. What fraction of the fruits were guavas at first? Give your answer in its simplest form.
| |
Guavas |
Dragonfruits |
Total |
| Before |
6 u |
2 p |
114 |
| Change |
- 5 u |
- 1 p |
- 73 |
| After |
1 u |
1 p |
41 |
Number of guavas and dragonfruits thrown away
= 114 - 41
= 73
5 u + 1 p = 73
1 p = 73 - 5 u --- (1)
1 u + 1 p = 41
1 p = 41 - 1 u --- (2)
(2) = (1)
41 - 1 u = 73 - 5 u
5 u - 1 u = 73 - 41
4 u = 32
1 u = 32 ÷ 4 = 8
Number of guavas at first
= 6 u
= 6 x 8
= 48
Fraction of the fruits that were guavas at first
=
48114 =
819 Answer(s):
819 
