A store owner has 80 more mangosteens than mangoes. After he sold 80% of the mangosteens and 30% of the mangoes, he is left with 14 less mangosteens than mangoes. What fraction of the fruits left were mangoes?
| |
Mangosteens |
Mangoes |
Comparing mangosteens
and mangoes at first |
80 more |
|
| Before |
5x2 =
10 u |
+ 80 |
10x1 =
10 u |
| Change |
- 4x2 =
- 8 u |
- 64 |
- 3x1 =
- 3 u |
| After |
1x2 =
2 u |
+ 16 |
7x1 =
7 u |
Comparing mangosteens
and mangoes in the end |
14 less |
|
80% =
80100 =
45 80% x 80 =
45 x 80 = 64
80 - 64 = 16
30% =
30100 =
310 The number of mangosteens is 14 less than the number of mangoes in the end. So, if another 14 mangosteens are added, the number of mangosteens and mangoes in the end will be the same.
2 u + 16 + 14 = 7 u
2 u + 30 = 7 u
7 u - 2 u = 30
5 u = 30
1 u = 30 ÷ 5 = 6
Number of mangoes left
= 7 u
= 7 x 6
= 42
Total number of fruits left
= 2 u + 16 + 7 u
= 9 u + 16
= 9 x 6 + 16
= 54 + 16
= 70
Mangoes leftTotal fruits left =
4270 =
35 Answer(s):
35 
