A store owner has 40 less lemons than persimmons. After he sold 75% of the lemons and 10% of the persimmons, he is left with 120 less lemons than persimmons. What fraction of the fruits left were lemons?
|
Lemons |
Persimmons |
Comparing lemons and persimmons at first |
|
40 less |
Before |
4x5 = 20 u |
+ 40 |
10x2 = 20 u |
Change |
- 3x5 = - 15 u |
- 30 |
- 1x2 = - 2 u |
After |
1x5 = 5 u |
+ 10 |
9x2 = 18 u |
Comparing lemons and persimmons in the end |
120 less |
|
75% =
75100 =
34 75% x 40 =
34 x 40 = 30
40 - 30 = 10
10% =
10100 =
110 The number of lemons is 120 less than the number of persimmons in the end. So, if another 120 lemons are added, the number of lemons and persimmons in the end will be the same.
5 u + 10 + 120 = 18 u
5 u + 130 = 18 u
18 u - 5 u = 130
13 u = 130
1 u = 130 ÷ 13 = 10
Number of lemons left
= 5 u + 10
= 5 x 10 + 10
= 50 + 10
= 60
Total number of fruits left
= 5 u + 10 + 18 u
= 23 u + 10
= 23 x 10 + 10
= 230 + 10
= 240
Lemons leftTotal fruits left =
60240 =
14 Answer(s):
14