A store owner has 40 more apples than mangoes. After he sold 70% of the apples and 40% of the mangoes, he is left with 24 more mangoes than apples. What fraction of the fruits left were mangoes?
| |
Apples |
Mangoes |
Comparing apples
and mangoes at first |
40 more |
|
| Before |
10x1 =
10 u |
+ 40 |
5x2 =
10 u |
| Change |
- 7x1 =
- 7 u |
- 28 |
- 2x2 =
- 4 u |
| After |
3x1 =
3 u |
+ 12 |
3x2 =
6 u |
Comparing apples
and mangoes in the end |
|
24 more |
70% =
70100 =
710 70% x 40 =
710 x 40 = 28
40 - 28 = 12
40% =
40100 =
25 The number of mangoes is 24 more than the number of apples in the end. So, if another 24 apples are added, the number of apples and mangoes in the end will be the same.
3 u + 12 + 24 = 6 u
3 u + 36 = 6 u
6 u - 3 u = 36
3 u = 36
1 u = 36 ÷ 3 = 12
Number of mangoes left
= 6 u
= 6 x 12
= 72
Total number of fruits left
= 3 u + 12 + 6 u
= 9 u + 12
= 9 x 12 + 12
= 108 + 12
= 120
Mangoes leftTotal fruits left =
72120 =
35 Answer(s):
35 
