The number of persimmons at a store was 90% more than the number of mangosteens. After 50% of the mangosteens were sold, there were 42 more persimmons than mangosteens. Find the total number of persimmons and mangosteens at the store at first.
| |
Persimmons |
Mangosteens |
More |
Total |
| Before |
19 u |
10 u |
|
29 u |
| Change |
|
- 5 u |
|
|
| After |
19 u |
5 u |
14 u |
|
Number of mangosteens at first in percent = 100%
Number of persimmons at first in percent
= 100% + 90%
= 190%
PersimmonsMangosteens =
190100 =
1910Number of mangosteens sold
= 50% x 10 u
=
50100 x 10 u
= 5 u
Number of more persimmons than mangosteens in the end
= 19 u - 5 u
= 14 u
14 u = 42
1 u = 42 ÷ 14 = 3
Total number of mangosteens and persimmons at first
= 19 u + 10 u
= 29 u
= 29 x 3
= 87
Answer(s): 87
