The number of mangosteens at a shop was 40% more than the number of pomegranates. After 80% of the pomegranates were sold, there were 24 more mangosteens than pomegranates. Find the total number of mangosteens and pomegranates at the shop at first.
|
Mangosteens |
Pomegranates |
More |
Total |
Before |
7 u |
5 u |
|
12 u |
Change |
|
- 4 u |
|
|
After |
7 u |
1 u |
6 u |
|
Number of pomegranates at first in percent = 100%
Number of mangosteens at first in percent
= 100% + 40%
= 140%
MangosteensPomegranates =
140100 =
75Number of pomegranates sold
= 80% x 5 u
=
80100 x 5 u
= 4 u
Number of more mangosteens than pomegranates in the end
= 7 u - 1 u
= 6 u
6 u = 24
1 u = 24 ÷ 6 = 4
Total number of pomegranates and mangosteens at first
= 7 u + 5 u
= 12 u
= 12 x 4
= 48
Answer(s): 48