PSLEA fruit seller had an equal number of starfruits, mangoes and guavas at first. After 40 guavas, some starfruits and mangoes were sold, there were 148 fruits left. There were 2 times as many starfruits as mangoes left. The number of guavas left was 17 less than the number of starfruits left. How many mangoes were sold?
|
Starfruits |
Mangoes |
Guavas |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 40 |
|
After |
2 u |
1 u |
2 u - 17 |
148 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 17
= 5 u - 17
5 u - 17 = 148
5 u = 148 + 17
5 u = 165
1 u = 165 ÷ 5 = 33
Number of guavas at first
= 2 u - 17 + 40
= 2 x 33 + 23
= 89
The number of guavas and mangoes at first is the same.
Number of mangoes sold
= 89 - 33
= 56
Answer(s): 56