A store owner has 50 more mangoes than starfruits. After he sold 70% of the mangoes and 20% of the starfruits, he is left with 10 more starfruits than mangoes. What fraction of the fruits left were starfruits?
| |
Mangoes |
Starfruits |
Comparing mangoes
and starfruits at first |
50 more |
|
| Before |
10x1 =
10 u |
+ 50 |
5x2 =
10 u |
| Change |
- 7x1 =
- 7 u |
- 35 |
- 1x2 =
- 2 u |
| After |
3x1 =
3 u |
+ 15 |
4x2 =
8 u |
Comparing mangoes
and starfruits in the end |
|
10 more |
70% =
70100 =
710 70% x 50 =
710 x 50 = 35
50 - 35 = 15
20% =
20100 =
15 The number of starfruits is 10 more than the number of mangoes in the end. So, if another 10 mangoes are added, the number of mangoes and starfruits in the end will be the same.
3 u + 15 + 10 = 8 u
3 u + 25 = 8 u
8 u - 3 u = 25
5 u = 25
1 u = 25 ÷ 5 = 5
Number of starfruits left
= 8 u
= 8 x 5
= 40
Total number of fruits left
= 3 u + 15 + 8 u
= 11 u + 15
= 11 x 5 + 15
= 55 + 15
= 70
Starfruits leftTotal fruits left =
4070 =
47 Answer(s):
47 
