PSLEA grocer had the same number of grapefruits, starfruits and mangosteens at first. After 51 mangosteens, some grapefruits and starfruits were sold, there were 87 fruits left. There were 2 times as many grapefruits as starfruits left. The number of mangosteens left was 23 fewer than the number of grapefruits left. How many starfruits were sold?
|
Grapefruits |
Starfruits |
Mangosteens |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 51 |
|
After |
2 u |
1 u |
2 u - 23 |
87 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 23
= 5 u - 23
5 u - 23 = 87
5 u = 87 + 23
5 u = 110
1 u = 110 ÷ 5 = 22
Number of mangosteens at first
= 2 u - 23 + 51
= 2 x 22 + 28
= 72
The number of mangosteens and starfruits at first is the same.
Number of starfruits sold
= 72 - 22
= 50
Answer(s): 50