A store owner has 68 more starfruits than passion fruits. After he sold 75% of the starfruits and 30% of the passion fruits, he is left with 64 more passion fruits than starfruits. What fraction of the fruits left were passion fruits?
|
Starfruits |
Passion fruits |
Comparing starfruits and passion fruits at first |
68 more |
|
Before |
4x5 = 20 u |
+ 68 |
10x2 = 20 u |
Change |
- 3x5 = - 15 u |
- 51 |
- 3x2 = - 6 u |
After |
1x5 = 5 u |
+ 17 |
7x2 = 14 u |
Comparing starfruits and passion fruits in the end |
|
64 more |
75% =
75100 =
34 75% x 68 =
34 x 68 = 51
68 - 51 = 17
30% =
30100 =
310 The number of passion fruits is 64 more than the number of starfruits in the end. So, if another 64 starfruits are added, the number of starfruits and passion fruits in the end will be the same.
5 u + 17 + 64 = 14 u
5 u + 81 = 14 u
14 u - 5 u = 81
9 u = 81
1 u = 81 ÷ 9 = 9
Number of passion fruits left
= 14 u
= 14 x 9
= 126
Total number of fruits left
= 5 u + 17 + 14 u
= 19 u + 17
= 19 x 9 + 17
= 171 + 17
= 188
Passion fruits leftTotal fruits left =
126188 =
6394 Answer(s):
6394