A store owner has 40 less oranges than passion fruits. After he sold 75% of the oranges and 10% of the passion fruits, he is left with 94 less oranges than passion fruits. What fraction of the fruits left were oranges?
|
Oranges |
Passion fruits |
Comparing oranges and passion fruits at first |
|
40 less |
Before |
4x5 = 20 u |
+ 40 |
10x2 = 20 u |
Change |
- 3x5 = - 15 u |
- 30 |
- 1x2 = - 2 u |
After |
1x5 = 5 u |
+ 10 |
9x2 = 18 u |
Comparing oranges and passion fruits in the end |
94 less |
|
75% =
75100 =
34 75% x 40 =
34 x 40 = 30
40 - 30 = 10
10% =
10100 =
110 The number of oranges is 94 less than the number of passion fruits in the end. So, if another 94 oranges are added, the number of oranges and passion fruits in the end will be the same.
5 u + 10 + 94 = 18 u
5 u + 104 = 18 u
18 u - 5 u = 104
13 u = 104
1 u = 104 ÷ 13 = 8
Number of oranges left
= 5 u + 10
= 5 x 8 + 10
= 40 + 10
= 50
Total number of fruits left
= 5 u + 10 + 18 u
= 23 u + 10
= 23 x 8 + 10
= 184 + 10
= 194
Oranges leftTotal fruits left =
50194 =
2597 Answer(s):
2597