PSLEA store owner had the same number of persimmons, mangoes and mangosteens at first. After 45 mangosteens, some persimmons and mangoes were sold, there were 110 fruits left. There were 2 times as many persimmons as mangoes left. The number of mangosteens left was 20 fewer than the number of persimmons left. How many mangoes were sold?
|
Persimmons |
Mangoes |
Mangosteens |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 45 |
|
After |
2 u |
1 u |
2 u - 20 |
110 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 20
= 5 u - 20
5 u - 20 = 110
5 u = 110 + 20
5 u = 130
1 u = 130 ÷ 5 = 26
Number of mangosteens at first
= 2 u - 20 + 45
= 2 x 26 + 25
= 77
The number of mangosteens and mangoes at first is the same.
Number of mangoes sold
= 77 - 26
= 51
Answer(s): 51