A store owner has 56 less mangosteens than pears. After he sold 75% of the mangosteens and 30% of the pears, he is left with 49 less mangosteens than pears. What fraction of the fruits left were mangosteens?
|
Mangosteens |
Pears |
Comparing mangosteens and pears at first |
|
56 less |
Before |
4x5 = 20 u |
+ 56 |
10x2 = 20 u |
Change |
- 3x5 = - 15 u |
- 42 |
- 3x2 = - 6 u |
After |
1x5 = 5 u |
+ 14 |
7x2 = 14 u |
Comparing mangosteens and pears in the end |
49 less |
|
75% =
75100 =
34 75% x 56 =
34 x 56 = 42
56 - 42 = 14
30% =
30100 =
310 The number of mangosteens is 49 less than the number of pears in the end. So, if another 49 mangosteens are added, the number of mangosteens and pears in the end will be the same.
5 u + 14 + 49 = 14 u
5 u + 63 = 14 u
14 u - 5 u = 63
9 u = 63
1 u = 63 ÷ 9 = 7
Number of mangosteens left
= 5 u + 14
= 5 x 7 + 14
= 35 + 14
= 49
Total number of fruits left
= 5 u + 14 + 14 u
= 19 u + 14
= 19 x 7 + 14
= 133 + 14
= 147
Mangosteens leftTotal fruits left =
49147 =
13 Answer(s):
13