A store owner has 56 more mangosteens than passion fruits. After he sold 75% of the mangosteens and 30% of the passion fruits, he is left with 4 more passion fruits than mangosteens. What fraction of the fruits left were passion fruits?
|
Mangosteens |
Passion fruits |
Comparing mangosteens and passion fruits at first |
56 more |
|
Before |
4x5 = 20 u |
+ 56 |
10x2 = 20 u |
Change |
- 3x5 = - 15 u |
- 42 |
- 3x2 = - 6 u |
After |
1x5 = 5 u |
+ 14 |
7x2 = 14 u |
Comparing mangosteens and passion fruits in the end |
|
4 more |
75% =
75100 =
34 75% x 56 =
34 x 56 = 42
56 - 42 = 14
30% =
30100 =
310 The number of passion fruits is 4 more than the number of mangosteens in the end. So, if another 4 mangosteens are added, the number of mangosteens and passion fruits in the end will be the same.
5 u + 14 + 4 = 14 u
5 u + 18 = 14 u
14 u - 5 u = 18
9 u = 18
1 u = 18 ÷ 9 = 2
Number of passion fruits left
= 14 u
= 14 x 2
= 28
Total number of fruits left
= 5 u + 14 + 14 u
= 19 u + 14
= 19 x 2 + 14
= 38 + 14
= 52
Passion fruits leftTotal fruits left =
2852 =
713 Answer(s):
713