A store owner has 84 more oranges than pomegranates. After he sold 75% of the oranges and 35% of the pomegranates, he is left with 75 less oranges than pomegranates. What fraction of the fruits left were pomegranates?
|
Oranges |
Pomegranates |
Comparing oranges and pomegranates at first |
84 more |
|
Before |
4x5 = 20 u |
+ 84 |
20x1 = 20 u |
Change |
- 3x5 = - 15 u |
- 63 |
- 7x1 = - 7 u |
After |
1x5 = 5 u |
+ 21 |
13x1 = 13 u |
Comparing oranges and pomegranates in the end |
75 less |
|
75% =
75100 =
34 75% x 84 =
34 x 84 = 63
84 - 63 = 21
35% =
35100 =
720 The number of oranges is 75 less than the number of pomegranates in the end. So, if another 75 oranges are added, the number of oranges and pomegranates in the end will be the same.
5 u + 21 + 75 = 13 u
5 u + 96 = 13 u
13 u - 5 u = 96
8 u = 96
1 u = 96 ÷ 8 = 12
Number of pomegranates left
= 13 u
= 13 x 12
= 156
Total number of fruits left
= 5 u + 21 + 13 u
= 18 u + 21
= 18 x 12 + 21
= 216 + 21
= 237
Pomegranates leftTotal fruits left =
156237 =
5279 Answer(s):
5279