A store owner has 55 more passion fruits than oranges. After he sold 60% of the passion fruits and 35% of the oranges, he is left with 8 more oranges than passion fruits. What fraction of the fruits left were oranges?
|
Passion fruits |
Oranges |
Comparing passion fruits and oranges at first |
55 more |
|
Before |
5x4 = 20 u |
+ 55 |
20x1 = 20 u |
Change |
- 3x4 = - 12 u |
- 33 |
- 7x1 = - 7 u |
After |
2x4 = 8 u |
+ 22 |
13x1 = 13 u |
Comparing passion fruits and oranges in the end |
|
8 more |
60% =
60100 =
35 60% x 55 =
35 x 55 = 33
55 - 33 = 22
35% =
35100 =
720 The number of oranges is 8 more than the number of passion fruits in the end. So, if another 8 passion fruits are added, the number of passion fruits and oranges in the end will be the same.
8 u + 22 + 8 = 13 u
8 u + 30 = 13 u
13 u - 8 u = 30
5 u = 30
1 u = 30 ÷ 5 = 6
Number of oranges left
= 13 u
= 13 x 6
= 78
Total number of fruits left
= 8 u + 22 + 13 u
= 21 u + 22
= 21 x 6 + 22
= 126 + 22
= 148
Oranges leftTotal fruits left =
78148 =
3974 Answer(s):
3974