A store owner has 25 less starfruits than mangoes. After he sold 60% of the starfruits and 10% of the mangoes, he is left with 50 less starfruits than mangoes. What fraction of the fruits left were starfruits?
|
Starfruits |
Mangoes |
Comparing starfruits and mangoes at first |
|
25 less |
Before |
5x2 = 10 u |
+ 25 |
10x1 = 10 u |
Change |
- 3x2 = - 6 u |
- 15 |
- 1x1 = - 1 u |
After |
2x2 = 4 u |
+ 10 |
9x1 = 9 u |
Comparing starfruits and mangoes in the end |
50 less |
|
60% =
60100 =
35 60% x 25 =
35 x 25 = 15
25 - 15 = 10
10% =
10100 =
110 The number of starfruits is 50 less than the number of mangoes in the end. So, if another 50 starfruits are added, the number of starfruits and mangoes in the end will be the same.
4 u + 10 + 50 = 9 u
4 u + 60 = 9 u
9 u - 4 u = 60
5 u = 60
1 u = 60 ÷ 5 = 12
Number of starfruits left
= 4 u + 10
= 4 x 12 + 10
= 48 + 10
= 58
Total number of fruits left
= 4 u + 10 + 9 u
= 13 u + 10
= 13 x 12 + 10
= 156 + 10
= 166
Starfruits leftTotal fruits left =
58166 =
2983 Answer(s):
2983