A store owner has 45 less persimmons than lemons. After he sold 60% of the persimmons and 10% of the lemons, he is left with 22 less persimmons than lemons. What fraction of the fruits left were persimmons?
|
Persimmons |
Lemons |
Comparing persimmons and lemons at first |
|
45 less |
Before |
5x2 = 10 u |
+ 45 |
10x1 = 10 u |
Change |
- 3x2 = - 6 u |
- 27 |
- 1x1 = - 1 u |
After |
2x2 = 4 u |
+ 18 |
9x1 = 9 u |
Comparing persimmons and lemons in the end |
22 less |
|
60% =
60100 =
35 60% x 45 =
35 x 45 = 27
45 - 27 = 18
10% =
10100 =
110 The number of persimmons is 22 less than the number of lemons in the end. So, if another 22 persimmons are added, the number of persimmons and lemons in the end will be the same.
4 u + 18 + 22 = 9 u
4 u + 40 = 9 u
9 u - 4 u = 40
5 u = 40
1 u = 40 ÷ 5 = 8
Number of persimmons left
= 4 u + 18
= 4 x 8 + 18
= 32 + 18
= 50
Total number of fruits left
= 4 u + 18 + 9 u
= 13 u + 18
= 13 x 8 + 18
= 104 + 18
= 122
Persimmons leftTotal fruits left =
50122 =
2561 Answer(s):
2561