A store owner has 75 less lemons than pomegranates. After he sold 60% of the lemons and 10% of the pomegranates, he is left with 10 less lemons than pomegranates. What fraction of the fruits left were lemons?
|
Lemons |
Pomegranates |
Comparing lemons and pomegranates at first |
|
75 less |
Before |
5x2 = 10 u |
+ 75 |
10x1 = 10 u |
Change |
- 3x2 = - 6 u |
- 45 |
- 1x1 = - 1 u |
After |
2x2 = 4 u |
+ 30 |
9x1 = 9 u |
Comparing lemons and pomegranates in the end |
10 less |
|
60% =
60100 =
35 60% x 75 =
35 x 75 = 45
75 - 45 = 30
10% =
10100 =
110 The number of lemons is 10 less than the number of pomegranates in the end. So, if another 10 lemons are added, the number of lemons and pomegranates in the end will be the same.
4 u + 30 + 10 = 9 u
4 u + 40 = 9 u
9 u - 4 u = 40
5 u = 40
1 u = 40 ÷ 5 = 8
Number of lemons left
= 4 u + 30
= 4 x 8 + 30
= 32 + 30
= 62
Total number of fruits left
= 4 u + 30 + 9 u
= 13 u + 30
= 13 x 8 + 30
= 104 + 30
= 134
Lemons leftTotal fruits left =
62134 =
3167 Answer(s):
3167