A store owner has 90 more mangosteens than pomegranates. After he sold 80% of the mangosteens and 30% of the pomegranates, he is left with 27 more pomegranates than mangosteens. What fraction of the fruits left were pomegranates?
|
Mangosteens |
Pomegranates |
Comparing mangosteens and pomegranates at first |
90 more |
|
Before |
5x2 = 10 u |
+ 90 |
10x1 = 10 u |
Change |
- 4x2 = - 8 u |
- 72 |
- 3x1 = - 3 u |
After |
1x2 = 2 u |
+ 18 |
7x1 = 7 u |
Comparing mangosteens and pomegranates in the end |
|
27 more |
80% =
80100 =
45 80% x 90 =
45 x 90 = 72
90 - 72 = 18
30% =
30100 =
310 The number of pomegranates is 27 more than the number of mangosteens in the end. So, if another 27 mangosteens are added, the number of mangosteens and pomegranates in the end will be the same.
2 u + 18 + 27 = 7 u
2 u + 45 = 7 u
7 u - 2 u = 45
5 u = 45
1 u = 45 ÷ 5 = 9
Number of pomegranates left
= 7 u
= 7 x 9
= 63
Total number of fruits left
= 2 u + 18 + 7 u
= 9 u + 18
= 9 x 9 + 18
= 81 + 18
= 99
Pomegranates leftTotal fruits left =
6399 =
711 Answer(s):
711