A store owner has 90 less starfruits than apples. After he sold 90% of the starfruits and 20% of the apples, he is left with 75 less starfruits than apples. What fraction of the fruits left were starfruits?
| |
Starfruits |
Apples |
Comparing starfruits
and apples at first |
|
90 less |
| Before |
10x1 =
10 u |
+ 90 |
5x2 =
10 u |
| Change |
- 9x1 =
- 9 u |
- 81 |
- 1x2 =
- 2 u |
| After |
1x1 =
1 u |
+ 9 |
4x2 =
8 u |
Comparing starfruits
and apples in the end |
75 less |
|
90% =
90100 =
910 90% x 90 =
910 x 90 = 81
90 - 81 = 9
20% =
20100 =
15 The number of starfruits is 75 less than the number of apples in the end. So, if another 75 starfruits are added, the number of starfruits and apples in the end will be the same.
1 u + 9 + 75 = 8 u
1 u + 84 = 8 u
8 u - 1 u = 84
7 u = 84
1 u = 84 ÷ 7 = 12
Number of starfruits left
= 1 u + 9
= 1 x 12 + 9
= 12 + 9
= 21
Total number of fruits left
= 1 u + 9 + 8 u
= 9 u + 9
= 9 x 12 + 9
= 108 + 9
= 117
Starfruits leftTotal fruits left =
21117 =
739 Answer(s):
739 
