A store owner has 30 more apples than mangosteens. After he sold 70% of the apples and 40% of the mangosteens, he is left with 24 more mangosteens than apples. What fraction of the fruits left were mangosteens?
| |
Apples |
Mangosteens |
Comparing apples
and mangosteens at first |
30 more |
|
| Before |
10x1 =
10 u |
+ 30 |
5x2 =
10 u |
| Change |
- 7x1 =
- 7 u |
- 21 |
- 2x2 =
- 4 u |
| After |
3x1 =
3 u |
+ 9 |
3x2 =
6 u |
Comparing apples
and mangosteens in the end |
|
24 more |
70% =
70100 =
710 70% x 30 =
710 x 30 = 21
30 - 21 = 9
40% =
40100 =
25 The number of mangosteens is 24 more than the number of apples in the end. So, if another 24 apples are added, the number of apples and mangosteens in the end will be the same.
3 u + 9 + 24 = 6 u
3 u + 33 = 6 u
6 u - 3 u = 33
3 u = 33
1 u = 33 ÷ 3 = 11
Number of mangosteens left
= 6 u
= 6 x 11
= 66
Total number of fruits left
= 3 u + 9 + 6 u
= 9 u + 9
= 9 x 11 + 9
= 99 + 9
= 108
Mangosteens leftTotal fruits left =
66108 =
1118 Answer(s):
1118 
