A store owner has 96 more chikoos than pomegranates. After he sold 75% of the chikoos and 30% of the pomegranates, he is left with 48 more pomegranates than chikoos. What fraction of the fruits left were pomegranates?
|
Chikoos |
Pomegranates |
Comparing chikoos and pomegranates at first |
96 more |
|
Before |
4x5 = 20 u |
+ 96 |
10x2 = 20 u |
Change |
- 3x5 = - 15 u |
- 72 |
- 3x2 = - 6 u |
After |
1x5 = 5 u |
+ 24 |
7x2 = 14 u |
Comparing chikoos and pomegranates in the end |
|
48 more |
75% =
75100 =
34 75% x 96 =
34 x 96 = 72
96 - 72 = 24
30% =
30100 =
310 The number of pomegranates is 48 more than the number of chikoos in the end. So, if another 48 chikoos are added, the number of chikoos and pomegranates in the end will be the same.
5 u + 24 + 48 = 14 u
5 u + 72 = 14 u
14 u - 5 u = 72
9 u = 72
1 u = 72 ÷ 9 = 8
Number of pomegranates left
= 14 u
= 14 x 8
= 112
Total number of fruits left
= 5 u + 24 + 14 u
= 19 u + 24
= 19 x 8 + 24
= 152 + 24
= 176
Pomegranates leftTotal fruits left =
112176 =
711 Answer(s):
711