A store owner has 65 more kiwis than passion fruits. After he sold 60% of the kiwis and 35% of the passion fruits, he is left with 4 less kiwis than passion fruits. What fraction of the fruits left were passion fruits?
|
Kiwis |
Passion fruits |
Comparing kiwis and passion fruits at first |
65 more |
|
Before |
5x4 = 20 u |
+ 65 |
20x1 = 20 u |
Change |
- 3x4 = - 12 u |
- 39 |
- 7x1 = - 7 u |
After |
2x4 = 8 u |
+ 26 |
13x1 = 13 u |
Comparing kiwis and passion fruits in the end |
4 less |
|
60% =
60100 =
35 60% x 65 =
35 x 65 = 39
65 - 39 = 26
35% =
35100 =
720 The number of kiwis is 4 less than the number of passion fruits in the end. So, if another 4 kiwis are added, the number of kiwis and passion fruits in the end will be the same.
8 u + 26 + 4 = 13 u
8 u + 30 = 13 u
13 u - 8 u = 30
5 u = 30
1 u = 30 ÷ 5 = 6
Number of passion fruits left
= 13 u
= 13 x 6
= 78
Total number of fruits left
= 8 u + 26 + 13 u
= 21 u + 26
= 21 x 6 + 26
= 126 + 26
= 152
Passion fruits leftTotal fruits left =
78152 =
3976 Answer(s):
3976