A store owner has 36 less persimmons than oranges. After he sold 75% of the persimmons and 40% of the oranges, he is left with 68 less persimmons than oranges. What fraction of the fruits left were persimmons?
|
Persimmons |
Oranges |
Comparing persimmons and oranges at first |
|
36 less |
Before |
4x5 = 20 u |
+ 36 |
5x4 = 20 u |
Change |
- 3x5 = - 15 u |
- 27 |
- 2x4 = - 8 u |
After |
1x5 = 5 u |
+ 9 |
3x4 = 12 u |
Comparing persimmons and oranges in the end |
68 less |
|
75% =
75100 =
34 75% x 36 =
34 x 36 = 27
36 - 27 = 9
40% =
40100 =
25 The number of persimmons is 68 less than the number of oranges in the end. So, if another 68 persimmons are added, the number of persimmons and oranges in the end will be the same.
5 u + 9 + 68 = 12 u
5 u + 77 = 12 u
12 u - 5 u = 77
7 u = 77
1 u = 77 ÷ 7 = 11
Number of persimmons left
= 5 u + 9
= 5 x 11 + 9
= 55 + 9
= 64
Total number of fruits left
= 5 u + 9 + 12 u
= 17 u + 9
= 17 x 11 + 9
= 187 + 9
= 196
Persimmons leftTotal fruits left =
64196 =
1649 Answer(s):
1649