A store owner has 60 more passion fruits than pomegranates. After he sold 60% of the passion fruits and 10% of the pomegranates, he is left with 6 less passion fruits than pomegranates. What fraction of the fruits left were pomegranates?
|
Passion fruits |
Pomegranates |
Comparing passion fruits and pomegranates at first |
60 more |
|
Before |
5x2 = 10 u |
+ 60 |
10x1 = 10 u |
Change |
- 3x2 = - 6 u |
- 36 |
- 1x1 = - 1 u |
After |
2x2 = 4 u |
+ 24 |
9x1 = 9 u |
Comparing passion fruits and pomegranates in the end |
6 less |
|
60% =
60100 =
35 60% x 60 =
35 x 60 = 36
60 - 36 = 24
10% =
10100 =
110 The number of passion fruits is 6 less than the number of pomegranates in the end. So, if another 6 passion fruits are added, the number of passion fruits and pomegranates in the end will be the same.
4 u + 24 + 6 = 9 u
4 u + 30 = 9 u
9 u - 4 u = 30
5 u = 30
1 u = 30 ÷ 5 = 6
Number of pomegranates left
= 9 u
= 9 x 6
= 54
Total number of fruits left
= 4 u + 24 + 9 u
= 13 u + 24
= 13 x 6 + 24
= 78 + 24
= 102
Pomegranates leftTotal fruits left =
54102 =
917 Answer(s):
917