There were 102 guavas and persimmons altogether. After
56 of the guavas and half of the persimmons were thrown away, there were a total of 27 guavas and persimmons left. What fraction of the fruits were guavas at first? Give your answer in its simplest form.
| |
Guavas |
Persimmons |
Total |
| Before |
6 u |
2 p |
102 |
| Change |
- 5 u |
- 1 p |
- 75 |
| After |
1 u |
1 p |
27 |
Number of guavas and persimmons thrown away
= 102 - 27
= 75
5 u + 1 p = 75
1 p = 75 - 5 u --- (1)
1 u + 1 p = 27
1 p = 27 - 1 u --- (2)
(2) = (1)
27 - 1 u = 75 - 5 u
5 u - 1 u = 75 - 27
4 u = 48
1 u = 48 ÷ 4 = 12
Number of guavas at first
= 6 u
= 6 x 12
= 72
Fraction of the fruits that were guavas at first
=
72102 =
1217 Answer(s):
1217 
