A store owner has 20 more mangoes than lemons. After he sold 75% of the mangoes and 10% of the lemons, he is left with 34 less mangoes than lemons. What fraction of the fruits left were lemons?
| |
Mangoes |
Lemons |
Comparing mangoes
and lemons at first |
20 more |
|
| Before |
4x5 =
20 u |
+ 20 |
10x2 =
20 u |
| Change |
- 3x5 =
- 15 u |
- 15 |
- 1x2 =
- 2 u |
| After |
1x5 =
5 u |
+ 5 |
9x2 =
18 u |
Comparing mangoes
and lemons in the end |
34 less |
|
75% =
75100 =
34 75% x 20 =
34 x 20 = 15
20 - 15 = 5
10% =
10100 =
110 The number of mangoes is 34 less than the number of lemons in the end. So, if another 34 mangoes are added, the number of mangoes and lemons in the end will be the same.
5 u + 5 + 34 = 18 u
5 u + 39 = 18 u
18 u - 5 u = 39
13 u = 39
1 u = 39 ÷ 13 = 3
Number of lemons left
= 18 u
= 18 x 3
= 54
Total number of fruits left
= 5 u + 5 + 18 u
= 23 u + 5
= 23 x 3 + 5
= 69 + 5
= 74
Lemons leftTotal fruits left =
5474 =
2737 Answer(s):
2737 
