A store owner has 20 more starfruits than mangosteens. After he sold 75% of the starfruits and 30% of the mangosteens, he is left with 40 less starfruits than mangosteens. What fraction of the fruits left were mangosteens?
|
Starfruits |
Mangosteens |
Comparing starfruits and mangosteens at first |
20 more |
|
Before |
4x5 = 20 u |
+ 20 |
10x2 = 20 u |
Change |
- 3x5 = - 15 u |
- 15 |
- 3x2 = - 6 u |
After |
1x5 = 5 u |
+ 5 |
7x2 = 14 u |
Comparing starfruits and mangosteens in the end |
40 less |
|
75% =
75100 =
34 75% x 20 =
34 x 20 = 15
20 - 15 = 5
30% =
30100 =
310 The number of starfruits is 40 less than the number of mangosteens in the end. So, if another 40 starfruits are added, the number of starfruits and mangosteens in the end will be the same.
5 u + 5 + 40 = 14 u
5 u + 45 = 14 u
14 u - 5 u = 45
9 u = 45
1 u = 45 ÷ 9 = 5
Number of mangosteens left
= 14 u
= 14 x 5
= 70
Total number of fruits left
= 5 u + 5 + 14 u
= 19 u + 5
= 19 x 5 + 5
= 95 + 5
= 100
Mangosteens leftTotal fruits left =
70100 =
710 Answer(s):
710