PSLEA fruit seller had an equal number of starfruits, mangoes and peaches at first. After 49 peaches, some starfruits and mangoes were sold, there were 132 fruits left. There were 3 times as many starfruits as mangoes left. The number of peaches left was 29 less than the number of starfruits left. How many mangoes were sold?
|
Starfruits |
Mangoes |
Peaches |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 49 |
|
After |
3 u |
1 u |
3 u - 29 |
132 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 29
= 7 u - 29
7 u - 29 = 132
7 u = 132 + 29
7 u = 161
1 u = 161 ÷ 7 = 23
Number of peaches at first
= 3 u - 29 + 49
= 3 x 23 + 20
= 89
The number of peaches and mangoes at first is the same.
Number of mangoes sold
= 89 - 23
= 66
Answer(s): 66