A store owner has 85 more passion fruits than starfruits. After he sold 80% of the passion fruits and 10% of the starfruits, he is left with 18 more starfruits than passion fruits. What fraction of the fruits left were starfruits?
|
Passion fruits |
Starfruits |
Comparing passion fruits and starfruits at first |
85 more |
|
Before |
5x2 = 10 u |
+ 85 |
10x1 = 10 u |
Change |
- 4x2 = - 8 u |
- 68 |
- 1x1 = - 1 u |
After |
1x2 = 2 u |
+ 17 |
9x1 = 9 u |
Comparing passion fruits and starfruits in the end |
|
18 more |
80% =
80100 =
45 80% x 85 =
45 x 85 = 68
85 - 68 = 17
10% =
10100 =
110 The number of starfruits is 18 more than the number of passion fruits in the end. So, if another 18 passion fruits are added, the number of passion fruits and starfruits in the end will be the same.
2 u + 17 + 18 = 9 u
2 u + 35 = 9 u
9 u - 2 u = 35
7 u = 35
1 u = 35 ÷ 7 = 5
Number of starfruits left
= 9 u
= 9 x 5
= 45
Total number of fruits left
= 2 u + 17 + 9 u
= 11 u + 17
= 11 x 5 + 17
= 55 + 17
= 72
Starfruits leftTotal fruits left =
4572 =
58 Answer(s):
58