A store owner has 24 less kiwis than lemons. After he sold 75% of the kiwis and 10% of the lemons, he is left with 98 less kiwis than lemons. What fraction of the fruits left were kiwis?
|
Kiwis |
Lemons |
Comparing kiwis and lemons at first |
|
24 less |
Before |
4x5 = 20 u |
+ 24 |
10x2 = 20 u |
Change |
- 3x5 = - 15 u |
- 18 |
- 1x2 = - 2 u |
After |
1x5 = 5 u |
+ 6 |
9x2 = 18 u |
Comparing kiwis and lemons in the end |
98 less |
|
75% =
75100 =
34 75% x 24 =
34 x 24 = 18
24 - 18 = 6
10% =
10100 =
110 The number of kiwis is 98 less than the number of lemons in the end. So, if another 98 kiwis are added, the number of kiwis and lemons in the end will be the same.
5 u + 6 + 98 = 18 u
5 u + 104 = 18 u
18 u - 5 u = 104
13 u = 104
1 u = 104 ÷ 13 = 8
Number of kiwis left
= 5 u + 6
= 5 x 8 + 6
= 40 + 6
= 46
Total number of fruits left
= 5 u + 6 + 18 u
= 23 u + 6
= 23 x 8 + 6
= 184 + 6
= 190
Kiwis leftTotal fruits left =
46190 =
2395 Answer(s):
2395