PSLEA fruit seller had an equal number of mangoes, starfruits and pomegranates at first. After 42 pomegranates, some mangoes and starfruits were sold, there were 193 fruits left. There were 3 times as many mangoes as starfruits left. The number of pomegranates left was 24 less than the number of mangoes left. How many starfruits were sold?
|
Mangoes |
Starfruits |
Pomegranates |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 42 |
|
After |
3 u |
1 u |
3 u - 24 |
193 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 24
= 7 u - 24
7 u - 24 = 193
7 u = 193 + 24
7 u = 217
1 u = 217 ÷ 7 = 31
Number of pomegranates at first
= 3 u - 24 + 42
= 3 x 31 + 18
= 111
The number of pomegranates and starfruits at first is the same.
Number of starfruits sold
= 111 - 31
= 80
Answer(s): 80