A store owner has 40 less pomegranates than pears. After he sold 70% of the pomegranates and 40% of the pears, he is left with 18 less pomegranates than pears. What fraction of the fruits left were pomegranates?
|
Pomegranates |
Pears |
Comparing pomegranates and pears at first |
|
40 less |
Before |
10x1 = 10 u |
+ 40 |
5x2 = 10 u |
Change |
- 7x1 = - 7 u |
- 28 |
- 2x2 = - 4 u |
After |
3x1 = 3 u |
+ 12 |
3x2 = 6 u |
Comparing pomegranates and pears in the end |
18 less |
|
70% =
70100 =
710 70% x 40 =
710 x 40 = 28
40 - 28 = 12
40% =
40100 =
25 The number of pomegranates is 18 less than the number of pears in the end. So, if another 18 pomegranates are added, the number of pomegranates and pears in the end will be the same.
3 u + 12 + 18 = 6 u
3 u + 30 = 6 u
6 u - 3 u = 30
3 u = 30
1 u = 30 ÷ 3 = 10
Number of pomegranates left
= 3 u + 12
= 3 x 10 + 12
= 30 + 12
= 42
Total number of fruits left
= 3 u + 12 + 6 u
= 9 u + 12
= 9 x 10 + 12
= 90 + 12
= 102
Pomegranates leftTotal fruits left =
42102 =
717 Answer(s):
717