There were 124 persimmons and guavas altogether. After
67 of the persimmons and half of the guavas were sold, there were a total of 22 persimmons and guavas left. What fraction of the fruits were persimmons at first? Give your answer in its simplest form.
|
Persimmons |
Guavas |
Total |
Before |
7 u |
2 p |
124 |
Change |
- 6 u |
- 1 p |
- 102 |
After |
1 u |
1 p |
22 |
Number of persimmons and guavas sold
= 124 - 22
= 102
6 u + 1 p = 102
1 p = 102 - 6 u --- (1)
1 u + 1 p = 22
1 p = 22 - 1 u --- (2)
(2) = (1)
22 - 1 u = 102 - 6 u
6 u - 1 u = 102 - 22
5 u = 80
1 u = 80 ÷ 5 = 16
Number of persimmons at first
= 7 u
= 7 x 16
= 112
Fraction of the fruits that were persimmons at first
=
112124 =
2831 Answer(s):
2831