A store owner has 45 less oranges than pomegranates. After he sold 60% of the oranges and 35% of the pomegranates, he is left with 12 less oranges than pomegranates. What fraction of the fruits left were oranges?
|
Oranges |
Pomegranates |
Comparing oranges and pomegranates at first |
|
45 less |
Before |
5x4 = 20 u |
+ 45 |
20x1 = 20 u |
Change |
- 3x4 = - 12 u |
- 27 |
- 7x1 = - 7 u |
After |
2x4 = 8 u |
+ 18 |
13x1 = 13 u |
Comparing oranges and pomegranates in the end |
12 less |
|
60% =
60100 =
35 60% x 45 =
35 x 45 = 27
45 - 27 = 18
35% =
35100 =
720 The number of oranges is 12 less than the number of pomegranates in the end. So, if another 12 oranges are added, the number of oranges and pomegranates in the end will be the same.
8 u + 18 + 12 = 13 u
8 u + 30 = 13 u
13 u - 8 u = 30
5 u = 30
1 u = 30 ÷ 5 = 6
Number of oranges left
= 8 u + 18
= 8 x 6 + 18
= 48 + 18
= 66
Total number of fruits left
= 8 u + 18 + 13 u
= 21 u + 18
= 21 x 6 + 18
= 126 + 18
= 144
Oranges leftTotal fruits left =
66144 =
1124 Answer(s):
1124