A store owner has 84 more pomegranates than starfruits. After he sold 75% of the pomegranates and 20% of the starfruits, he is left with 111 less pomegranates than starfruits. What fraction of the fruits left were starfruits?
|
Pomegranates |
Starfruits |
Comparing pomegranates and starfruits at first |
84 more |
|
Before |
4x5 = 20 u |
+ 84 |
5x4 = 20 u |
Change |
- 3x5 = - 15 u |
- 63 |
- 1x4 = - 4 u |
After |
1x5 = 5 u |
+ 21 |
4x4 = 16 u |
Comparing pomegranates and starfruits in the end |
111 less |
|
75% =
75100 =
34 75% x 84 =
34 x 84 = 63
84 - 63 = 21
20% =
20100 =
15 The number of pomegranates is 111 less than the number of starfruits in the end. So, if another 111 pomegranates are added, the number of pomegranates and starfruits in the end will be the same.
5 u + 21 + 111 = 16 u
5 u + 132 = 16 u
16 u - 5 u = 132
11 u = 132
1 u = 132 ÷ 11 = 12
Number of starfruits left
= 16 u
= 16 x 12
= 192
Total number of fruits left
= 5 u + 21 + 16 u
= 21 u + 21
= 21 x 12 + 21
= 252 + 21
= 273
Starfruits leftTotal fruits left =
192273 =
6491 Answer(s):
6491