A store owner has 40 more mangoes than mangosteens. After he sold 60% of the mangoes and 30% of the mangosteens, he is left with 8 more mangosteens than mangoes. What fraction of the fruits left were mangosteens?
| |
Mangoes |
Mangosteens |
Comparing mangoes
and mangosteens 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 mangoes
and mangosteens in the end |
|
8 more |
60% =
60100 =
35 60% x 40 =
35 x 40 = 24
40 - 24 = 16
30% =
30100 =
310 The number of mangosteens is 8 more than the number of mangoes in the end. So, if another 8 mangoes are added, the number of mangoes and mangosteens in the end will be the same.
4 u + 16 + 8 = 7 u
4 u + 24 = 7 u
7 u - 4 u = 24
3 u = 24
1 u = 24 ÷ 3 = 8
Number of mangosteens left
= 7 u
= 7 x 8
= 56
Total number of fruits left
= 4 u + 16 + 7 u
= 11 u + 16
= 11 x 8 + 16
= 88 + 16
= 104
Mangosteens leftTotal fruits left =
56104 =
713 Answer(s):
713 
