A store owner has 44 more mangosteens than pomegranates. After he sold 75% of the mangosteens and 20% of the pomegranates, he is left with 88 more pomegranates than mangosteens. What fraction of the fruits left were pomegranates?
|
Mangosteens |
Pomegranates |
Comparing mangosteens and pomegranates at first |
44 more |
|
Before |
4x5 = 20 u |
+ 44 |
5x4 = 20 u |
Change |
- 3x5 = - 15 u |
- 33 |
- 1x4 = - 4 u |
After |
1x5 = 5 u |
+ 11 |
4x4 = 16 u |
Comparing mangosteens and pomegranates in the end |
|
88 more |
75% =
75100 =
34 75% x 44 =
34 x 44 = 33
44 - 33 = 11
20% =
20100 =
15 The number of pomegranates is 88 more than the number of mangosteens in the end. So, if another 88 mangosteens are added, the number of mangosteens and pomegranates in the end will be the same.
5 u + 11 + 88 = 16 u
5 u + 99 = 16 u
16 u - 5 u = 99
11 u = 99
1 u = 99 ÷ 11 = 9
Number of pomegranates left
= 16 u
= 16 x 9
= 144
Total number of fruits left
= 5 u + 11 + 16 u
= 21 u + 11
= 21 x 9 + 11
= 189 + 11
= 200
Pomegranates leftTotal fruits left =
144200 =
1825 Answer(s):
1825