A store owner has 40 more starfruits than pomegranates. After he sold 75% of the starfruits and 30% of the pomegranates, he is left with 98 less starfruits than pomegranates. What fraction of the fruits left were pomegranates?
|
Starfruits |
Pomegranates |
Comparing starfruits and pomegranates at first |
40 more |
|
Before |
4x5 = 20 u |
+ 40 |
10x2 = 20 u |
Change |
- 3x5 = - 15 u |
- 30 |
- 3x2 = - 6 u |
After |
1x5 = 5 u |
+ 10 |
7x2 = 14 u |
Comparing starfruits and pomegranates in the end |
98 less |
|
75% =
75100 =
34 75% x 40 =
34 x 40 = 30
40 - 30 = 10
30% =
30100 =
310 The number of starfruits is 98 less than the number of pomegranates in the end. So, if another 98 starfruits are added, the number of starfruits and pomegranates in the end will be the same.
5 u + 10 + 98 = 14 u
5 u + 108 = 14 u
14 u - 5 u = 108
9 u = 108
1 u = 108 ÷ 9 = 12
Number of pomegranates left
= 14 u
= 14 x 12
= 168
Total number of fruits left
= 5 u + 10 + 14 u
= 19 u + 10
= 19 x 12 + 10
= 228 + 10
= 238
Pomegranates leftTotal fruits left =
168238 =
1217 Answer(s):
1217