A store owner has 32 less kiwis than pomegranates. After he sold 75% of the kiwis and 10% of the pomegranates, he is left with 148 less kiwis than pomegranates. What fraction of the fruits left were kiwis?
|
Kiwis |
Pomegranates |
Comparing kiwis and pomegranates at first |
|
32 less |
Before |
4x5 = 20 u |
+ 32 |
10x2 = 20 u |
Change |
- 3x5 = - 15 u |
- 24 |
- 1x2 = - 2 u |
After |
1x5 = 5 u |
+ 8 |
9x2 = 18 u |
Comparing kiwis and pomegranates in the end |
148 less |
|
75% =
75100 =
34 75% x 32 =
34 x 32 = 24
32 - 24 = 8
10% =
10100 =
110 The number of kiwis is 148 less than the number of pomegranates in the end. So, if another 148 kiwis are added, the number of kiwis and pomegranates in the end will be the same.
5 u + 8 + 148 = 18 u
5 u + 156 = 18 u
18 u - 5 u = 156
13 u = 156
1 u = 156 ÷ 13 = 12
Number of kiwis left
= 5 u + 8
= 5 x 12 + 8
= 60 + 8
= 68
Total number of fruits left
= 5 u + 8 + 18 u
= 23 u + 8
= 23 x 12 + 8
= 276 + 8
= 284
Kiwis leftTotal fruits left =
68284 =
1771 Answer(s):
1771