A store owner has 30 more mangosteens than mangoes. After he sold 60% of the mangosteens and 35% of the mangoes, he is left with 38 less mangosteens than mangoes. What fraction of the fruits left were mangoes?
| |
Mangosteens |
Mangoes |
Comparing mangosteens
and mangoes at first |
30 more |
|
| Before |
5x4 =
20 u |
+ 30 |
20x1 =
20 u |
| Change |
- 3x4 =
- 12 u |
- 18 |
- 7x1 =
- 7 u |
| After |
2x4 =
8 u |
+ 12 |
13x1 =
13 u |
Comparing mangosteens
and mangoes in the end |
38 less |
|
60% =
60100 =
35 60% x 30 =
35 x 30 = 18
30 - 18 = 12
35% =
35100 =
720 The number of mangosteens is 38 less than the number of mangoes in the end. So, if another 38 mangosteens are added, the number of mangosteens and mangoes in the end will be the same.
8 u + 12 + 38 = 13 u
8 u + 50 = 13 u
13 u - 8 u = 50
5 u = 50
1 u = 50 ÷ 5 = 10
Number of mangoes left
= 13 u
= 13 x 10
= 130
Total number of fruits left
= 8 u + 12 + 13 u
= 21 u + 12
= 21 x 10 + 12
= 210 + 12
= 222
Mangoes leftTotal fruits left =
130222 =
65111 Answer(s):
65111 
