A store owner has 40 more pomegranates than mangoes. After he sold 60% of the pomegranates and 30% of the mangoes, he is left with 14 less pomegranates than mangoes. What fraction of the fruits left were mangoes?
| |
Pomegranates |
Mangoes |
Comparing pomegranates
and mangoes at first |
40 more |
|
| Before |
5x2 =
10 u |
+ 40 |
10x1 =
10 u |
| Change |
- 3x2 =
- 6 u |
- 24 |
- 3x1 =
- 3 u |
| After |
2x2 =
4 u |
+ 16 |
7x1 =
7 u |
Comparing pomegranates
and mangoes in the end |
14 less |
|
60% =
60100 =
35 60% x 40 =
35 x 40 = 24
40 - 24 = 16
30% =
30100 =
310 The number of pomegranates is 14 less than the number of mangoes in the end. So, if another 14 pomegranates are added, the number of pomegranates and mangoes in the end will be the same.
4 u + 16 + 14 = 7 u
4 u + 30 = 7 u
7 u - 4 u = 30
3 u = 30
1 u = 30 ÷ 3 = 10
Number of mangoes left
= 7 u
= 7 x 10
= 70
Total number of fruits left
= 4 u + 16 + 7 u
= 11 u + 16
= 11 x 10 + 16
= 110 + 16
= 126
Mangoes leftTotal fruits left =
70126 =
59 Answer(s):
59 
