PSLEA grocer had an equal number of pears, mangoes and dragonfruits at first. After 50 dragonfruits, some pears and mangoes were sold, there were 174 fruits left. There were 2 times as many pears as mangoes left. The number of dragonfruits left was 36 less than the number of pears left. How many mangoes were sold?
|
Pears |
Mangoes |
Dragonfruits |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 50 |
|
After |
2 u |
1 u |
2 u - 36 |
174 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 36
= 5 u - 36
5 u - 36 = 174
5 u = 174 + 36
5 u = 210
1 u = 210 ÷ 5 = 42
Number of dragonfruits at first
= 2 u - 36 + 50
= 2 x 42 + 14
= 98
The number of dragonfruits and mangoes at first is the same.
Number of mangoes sold
= 98 - 42
= 56
Answer(s): 56