A store owner has 24 less lemons than passion fruits. After he sold 75% of the lemons and 20% of the passion fruits, he is left with 82 less lemons than passion fruits. What fraction of the fruits left were lemons?
|
Lemons |
Passion fruits |
Comparing lemons and passion fruits at first |
|
24 less |
Before |
4x5 = 20 u |
+ 24 |
5x4 = 20 u |
Change |
- 3x5 = - 15 u |
- 18 |
- 1x4 = - 4 u |
After |
1x5 = 5 u |
+ 6 |
4x4 = 16 u |
Comparing lemons and passion fruits in the end |
82 less |
|
75% =
75100 =
34 75% x 24 =
34 x 24 = 18
24 - 18 = 6
20% =
20100 =
15 The number of lemons is 82 less than the number of passion fruits in the end. So, if another 82 lemons are added, the number of lemons and passion fruits in the end will be the same.
5 u + 6 + 82 = 16 u
5 u + 88 = 16 u
16 u - 5 u = 88
11 u = 88
1 u = 88 ÷ 11 = 8
Number of lemons left
= 5 u + 6
= 5 x 8 + 6
= 40 + 6
= 46
Total number of fruits left
= 5 u + 6 + 16 u
= 21 u + 6
= 21 x 8 + 6
= 168 + 6
= 174
Lemons leftTotal fruits left =
46174 =
2387 Answer(s):
2387