A store owner has 40 more kiwis than mangosteens. After he sold 75% of the kiwis and 40% of the mangosteens, he is left with 74 less kiwis than mangosteens. What fraction of the fruits left were mangosteens?
|
Kiwis |
Mangosteens |
Comparing kiwis and mangosteens at first |
40 more |
|
Before |
4x5 = 20 u |
+ 40 |
5x4 = 20 u |
Change |
- 3x5 = - 15 u |
- 30 |
- 2x4 = - 8 u |
After |
1x5 = 5 u |
+ 10 |
3x4 = 12 u |
Comparing kiwis and mangosteens in the end |
74 less |
|
75% =
75100 =
34 75% x 40 =
34 x 40 = 30
40 - 30 = 10
40% =
40100 =
25 The number of kiwis is 74 less than the number of mangosteens in the end. So, if another 74 kiwis are added, the number of kiwis and mangosteens in the end will be the same.
5 u + 10 + 74 = 12 u
5 u + 84 = 12 u
12 u - 5 u = 84
7 u = 84
1 u = 84 ÷ 7 = 12
Number of mangosteens left
= 12 u
= 12 x 12
= 144
Total number of fruits left
= 5 u + 10 + 12 u
= 17 u + 10
= 17 x 12 + 10
= 204 + 10
= 214
Mangosteens leftTotal fruits left =
144214 =
72107 Answer(s):
72107