A store owner has 64 more kiwis than mangoes. After he sold 75% of the kiwis and 10% of the mangoes, he is left with 36 less kiwis than mangoes. What fraction of the fruits left were mangoes?
|
Kiwis |
Mangoes |
Comparing kiwis and mangoes at first |
64 more |
|
Before |
4x5 = 20 u |
+ 64 |
10x2 = 20 u |
Change |
- 3x5 = - 15 u |
- 48 |
- 1x2 = - 2 u |
After |
1x5 = 5 u |
+ 16 |
9x2 = 18 u |
Comparing kiwis and mangoes in the end |
36 less |
|
75% =
75100 =
34 75% x 64 =
34 x 64 = 48
64 - 48 = 16
10% =
10100 =
110 The number of kiwis is 36 less than the number of mangoes in the end. So, if another 36 kiwis are added, the number of kiwis and mangoes in the end will be the same.
5 u + 16 + 36 = 18 u
5 u + 52 = 18 u
18 u - 5 u = 52
13 u = 52
1 u = 52 ÷ 13 = 4
Number of mangoes left
= 18 u
= 18 x 4
= 72
Total number of fruits left
= 5 u + 16 + 18 u
= 23 u + 16
= 23 x 4 + 16
= 92 + 16
= 108
Mangoes leftTotal fruits left =
72108 =
23 Answer(s):
23