There were 128 persimmons and guavas altogether. After
78 of the persimmons and half of the guavas were sold, there were a total of 31 persimmons and guavas left. What fraction of the fruits were persimmons at first? Give your answer in its simplest form.
|
Persimmons |
Guavas |
Total |
Before |
8 u |
2 p |
128 |
Change |
- 7 u |
- 1 p |
- 97 |
After |
1 u |
1 p |
31 |
Number of persimmons and guavas sold
= 128 - 31
= 97
7 u + 1 p = 97
1 p = 97 - 7 u --- (1)
1 u + 1 p = 31
1 p = 31 - 1 u --- (2)
(2) = (1)
31 - 1 u = 97 - 7 u
7 u - 1 u = 97 - 31
6 u = 66
1 u = 66 ÷ 6 = 11
Number of persimmons at first
= 8 u
= 8 x 11
= 88
Fraction of the fruits that were persimmons at first
=
88128 =
1116 Answer(s):
1116