The number of mangosteens at a shop was 70% more than the number of pears. After 50% of the pears were sold, there were 108 more mangosteens than pears. Find the total number of mangosteens and pears at the shop at first.
| |
Mangosteens |
Pears |
More |
Total |
| Before |
17 u |
10 u |
|
27 u |
| Change |
|
- 5 u |
|
|
| After |
17 u |
5 u |
12 u |
|
Number of pears at first in percent = 100%
Number of mangosteens at first in percent
= 100% + 70%
= 170%
MangosteensPears =
170100 =
1710Number of pears sold
= 50% x 10 u
=
50100 x 10 u
= 5 u
Number of more mangosteens than pears in the end
= 17 u - 5 u
= 12 u
12 u = 108
1 u = 108 ÷ 12 = 9
Total number of pears and mangosteens at first
= 17 u + 10 u
= 27 u
= 27 x 9
= 243
Answer(s): 243
