A store owner has 72 more apples than pomegranates. After he sold 75% of the apples and 30% of the pomegranates, he is left with 36 less apples than pomegranates. What fraction of the fruits left were pomegranates?
|
Apples |
Pomegranates |
Comparing apples and pomegranates at first |
72 more |
|
Before |
4x5 = 20 u |
+ 72 |
10x2 = 20 u |
Change |
- 3x5 = - 15 u |
- 54 |
- 3x2 = - 6 u |
After |
1x5 = 5 u |
+ 18 |
7x2 = 14 u |
Comparing apples and pomegranates in the end |
36 less |
|
75% =
75100 =
34 75% x 72 =
34 x 72 = 54
72 - 54 = 18
30% =
30100 =
310 The number of apples is 36 less than the number of pomegranates in the end. So, if another 36 apples are added, the number of apples and pomegranates in the end will be the same.
5 u + 18 + 36 = 14 u
5 u + 54 = 14 u
14 u - 5 u = 54
9 u = 54
1 u = 54 ÷ 9 = 6
Number of pomegranates left
= 14 u
= 14 x 6
= 84
Total number of fruits left
= 5 u + 18 + 14 u
= 19 u + 18
= 19 x 6 + 18
= 114 + 18
= 132
Pomegranates leftTotal fruits left =
84132 =
711 Answer(s):
711