PSLEA grocer had the same number of dragonfruits, mangoes and peaches at first. After 45 peaches, some dragonfruits and mangoes were sold, there were 121 fruits left. There were 2 times as many dragonfruits as mangoes left. The number of peaches left was 24 less than the number of dragonfruits left. How many mangoes were sold?
|
Dragonfruits |
Mangoes |
Peaches |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 45 |
|
After |
2 u |
1 u |
2 u - 24 |
121 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 24
= 5 u - 24
5 u - 24 = 121
5 u = 121 + 24
5 u = 145
1 u = 145 ÷ 5 = 29
Number of peaches at first
= 2 u - 24 + 45
= 2 x 29 + 21
= 79
The number of peaches and mangoes at first is the same.
Number of mangoes sold
= 79 - 29
= 50
Answer(s): 50